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10665160512 = 2633592431
BaseRepresentation
bin10011110111011000…
…10110111101000000
31000112021101021210220
421323230112331000
5133320240114022
64522143223040
7525202240266
oct117354267500
930467337726
1010665160512
114583228a46
1220978a7a80
13100c74bb86
1473262c436
1542649c85c
hex27bb16f40

10665160512 has 84 divisors (see below), whose sum is σ = 28362712896. Its totient is φ = 3536925440.

The previous prime is 10665160411. The next prime is 10665160531. The reversal of 10665160512 is 21506156601.

It is a super-2 number, since 2×106651605122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24744937 + ... + 24745367.

It is an arithmetic number, because the mean of its divisors is an integer number (337651344).

Almost surely, 210665160512 is an apocalyptic number.

10665160512 is a gapful number since it is divisible by the number (12) 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 10665160512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181356448).

10665160512 is an abundant number, since it is smaller than the sum of its proper divisors (17697552384).

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

10665160512 is an frugal number, since it uses more digits than its factorization.

10665160512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 10665160512 in words is "ten billion, six hundred sixty-five million, one hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 359 431 718 862 1077 1293 1436 1724 2154 2586 2872 3448 4308 5172 5744 6896 8616 10344 11488 13792 17232 20688 22976 27584 34464 41376 68928 82752 128881 154729 257762 309458 386643 464187 515524 618916 773286 928374 1031048 1237832 1546572 1856748 2062096 2475664 3093144 3713496 4124192 4951328 6186288 7426992 8248384 9902656 12372576 14853984 24745152 29707968 55547711 111095422 166643133 222190844 333286266 444381688 666572532 888763376 1333145064 1777526752 2666290128 3555053504 5332580256 10665160512