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16528932168 = 23371132393643
BaseRepresentation
bin11110110010011001…
…10111110101001000
31120122221002202022220
433121030313311020
5232322401312133
611332052214040
71123413414420
oct173114676510
946587082286
1016528932168
117012173421
12325360a320
13173552b248
14b2b2d9480
1566b1765b3
hex3d9337d48

16528932168 has 128 divisors (see below), whose sum is σ = 47855923200. Its totient is φ = 4659895296.

The previous prime is 16528932157. The next prime is 16528932179. The reversal of 16528932168 is 86123982561.

It is an interprime number because it is at equal distance from previous prime (16528932157) and next prime (16528932179).

It is a super-2 number, since 2×165289321682 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16528932168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4535355 + ... + 4538997.

It is an arithmetic number, because the mean of its divisors is an integer number (373874400).

Almost surely, 216528932168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16528932168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23927961600).

16528932168 is an abundant number, since it is smaller than the sum of its proper divisors (31326991032).

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

16528932168 is a wasteful number, since it uses less digits than its factorization.

16528932168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4007 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 16528932168 in words is "sixteen billion, five hundred twenty-eight million, nine hundred thirty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 239 339 452 478 678 717 791 904 956 1356 1434 1582 1673 1912 2373 2712 2868 3164 3346 3643 4746 5019 5736 6328 6692 7286 9492 10038 10929 13384 14572 18984 20076 21858 25501 27007 29144 40152 43716 51002 54014 76503 81021 87432 102004 108028 153006 162042 189049 204008 216056 306012 324084 378098 411659 567147 612024 648168 756196 823318 870677 1134294 1234977 1512392 1646636 1741354 2268588 2469954 2612031 2881613 3293272 3482708 4537176 4939908 5224062 5763226 6094739 6965416 8644839 9879816 10448124 11526452 12189478 17289678 18284217 20896248 23052904 24378956 34579356 36568434 48757912 69158712 73136868 98386501 146273736 196773002 295159503 393546004 590319006 688705507 787092008 1180638012 1377411014 2066116521 2361276024 2754822028 4132233042 5509644056 8264466084 16528932168