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11046721536 = 211323119333
BaseRepresentation
bin10100100100110111…
…11001100000000000
31001111212100121010200
422102123321200000
5140110430042121
65024053325200
7540514404144
oct122233714000
931455317120
1011046721536
11475964a434
122183636800
131070805726
1476b193224
15449c1ca26
hex2926f9800

11046721536 has 144 divisors (see below), whose sum is σ = 32935855680. Its totient is φ = 3563274240.

The previous prime is 11046721531. The next prime is 11046721537. The reversal of 11046721536 is 63512764011.

11046721536 is a `hidden beast` number, since 1 + 10 + 46 + 72 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11046721536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046721531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561726 + ... + 581058.

It is an arithmetic number, because the mean of its divisors is an integer number (228721220).

Almost surely, 211046721536 is an apocalyptic number.

11046721536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11046721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467927840).

11046721536 is an abundant number, since it is smaller than the sum of its proper divisors (21889134144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11046721536 is a wasteful number, since it uses less digits than its factorization.

11046721536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19392 (or 19369 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11046721536 in words is "eleven billion, forty-six million, seven hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3968 4464 4608 5952 6144 7936 8928 9216 11904 15872 17856 18432 19333 23808 31744 35712 38666 47616 57999 63488 71424 77332 95232 115998 142848 154664 173997 190464 231996 285696 309328 347994 463992 571392 599323 618656 695988 927984 1198646 1237312 1391976 1797969 1855968 2397292 2474624 2783952 3595938 3711936 4794584 4949248 5393907 5567904 7191876 7423872 9589168 9898496 10787814 11135808 14383752 14847744 19178336 19796992 21575628 22271616 28767504 29695488 38356672 39593984 43151256 44543232 57535008 59390976 76713344 86302512 89086464 115070016 118781952 153426688 172605024 178172928 230140032 306853376 345210048 356345856 460280064 613706752 690420096 920560128 1227413504 1380840192 1841120256 2761680384 3682240512 5523360768 11046721536