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56300366512 = 24131393076343
BaseRepresentation
bin110100011011110000…
…110110101010110000
312101022200001221200201
4310123300312222300
51410300343212022
641510344124544
74032114135145
oct643360665260
9171280057621
1056300366512
11219710a8725
12aab2a66754
135403134350
142a213aa3cc
1516e7a60127
hexd1bc36ab0

56300366512 has 80 divisors (see below), whose sum is σ = 118722123520. Its totient is φ = 25709757696.

The previous prime is 56300366503. The next prime is 56300366599. The reversal of 56300366512 is 21566300365.

56300366512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×563003665122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8872813 + ... + 8879155.

It is an arithmetic number, because the mean of its divisors is an integer number (1484026544).

Almost surely, 256300366512 is an apocalyptic number.

56300366512 is a gapful number since it is divisible by the number (52) 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 56300366512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59361061760).

56300366512 is an abundant number, since it is smaller than the sum of its proper divisors (62421757008).

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

56300366512 is a wasteful number, since it uses less digits than its factorization.

56300366512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

Adding to 56300366512 its reverse (21566300365), we get a palindrome (77866666877).

The spelling of 56300366512 in words is "fifty-six billion, three hundred million, three hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 307 556 614 1112 1228 1807 2224 2456 3614 3991 4912 6343 7228 7982 12686 14456 15964 25372 28912 31928 42673 50744 63856 82459 85346 101488 164918 170692 329836 341384 554749 659672 682768 881677 1109498 1319344 1763354 1947301 2218996 3526708 3894602 4437992 7053416 7789204 8875984 11461801 14106832 15578408 22923602 25314913 31156816 45847204 50629826 91694408 101259652 183388816 202519304 270674839 405038608 541349678 1082699356 2165398712 3518772907 4330797424 7037545814 14075091628 28150183256 56300366512