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16564260152 = 23112234491657
BaseRepresentation
bin11110110110100111…
…01000110100111000
31120202101120121012202
433123103220310320
5232410422311102
611335353325332
71124322613436
oct173323506470
946671517182
1016564260152
117030102900
123263406848
13173c94a38b
14b31c93d56
1566e303e02
hex3db4e8d38

16564260152 has 96 divisors (see below), whose sum is σ = 35723268000. Its totient is φ = 7181475840.

The previous prime is 16564260151. The next prime is 16564260191. The reversal of 16564260152 is 25106246561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16564260151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9995708 + ... + 9997364.

It is an arithmetic number, because the mean of its divisors is an integer number (372117375).

Almost surely, 216564260152 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 16564260152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17861634000).

16564260152 is an abundant number, since it is smaller than the sum of its proper divisors (19159007848).

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

16564260152 is a wasteful number, since it uses less digits than its factorization.

16564260152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 16564260152 in words is "sixteen billion, five hundred sixty-four million, two hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 449 484 506 898 968 1012 1657 1796 2024 2783 3314 3592 4939 5566 6628 9878 10327 11132 13256 18227 19756 20654 22264 36454 38111 39512 41308 54329 72908 76222 82616 108658 113597 145816 152444 200497 217316 227194 304888 400994 419221 434632 454388 743993 801988 838442 908776 1249567 1487986 1603976 1676884 2499134 2975972 3353768 4611431 4998268 5951944 8183923 9222862 9996536 16367846 17111839 18445724 32735692 34223678 36891448 65471384 68447356 90023153 136894712 180046306 188230229 360092612 376460458 720185224 752920916 1505841832 2070532519 4141065038 8282130076 16564260152