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12534500264 = 231113100910859
BaseRepresentation
bin10111010110001110…
…10100101110101000
31012100112212120212112
423223013110232220
5201132313002024
65431441501452
7622421331356
oct135307245650
935315776775
1012534500264
115352442630
122519941888
131249b09080
1486c9d47d6
154d565100e
hex2eb1d4ba8

12534500264 has 64 divisors (see below), whose sum is σ = 27640872000. Its totient is φ = 5253534720.

The previous prime is 12534500243. The next prime is 12534500291. The reversal of 12534500264 is 46200543521.

It is a super-2 number, since 2×125345002642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12534500264.

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, 1148867 + ... + 1159725.

It is an arithmetic number, because the mean of its divisors is an integer number (431888625).

Almost surely, 212534500264 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 12534500264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820436000).

12534500264 is an abundant number, since it is smaller than the sum of its proper divisors (15106371736).

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

12534500264 is a wasteful number, since it uses less digits than its factorization.

12534500264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11898 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 12534500264 in words is "twelve billion, five hundred thirty-four million, five hundred thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1009 1144 2018 4036 8072 10859 11099 13117 21718 22198 26234 43436 44396 52468 86872 88792 104936 119449 141167 144287 238898 282334 288574 477796 564668 577148 955592 1129336 1154296 1552837 3105674 6211348 10956731 12422696 21913462 43826924 87653848 120524041 142437503 241048082 284875006 482096164 569750012 964192328 1139500024 1566812533 3133625066 6267250132 12534500264