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13153910928 = 243896135023
BaseRepresentation
bin11000100000000100…
…01100000010010000
31020221201101220120020
430100002030002100
5203414400122203
610013125543440
7643652253354
oct142002140220
936851356506
1013153910928
115640048a74
122671274b80
13131823ca62
148cad91464
1551ec05153
hex31008c090

13153910928 has 80 divisors (see below), whose sum is σ = 34425653760. Its totient is φ = 4327437312.

The previous prime is 13153910927. The next prime is 13153910971. The reversal of 13153910928 is 82901935131.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13153910928.

It is not an unprimeable number, because it can be changed into a prime (13153910927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616225 + ... + 2621247.

It is an arithmetic number, because the mean of its divisors is an integer number (430320672).

Almost surely, 213153910928 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 13153910928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212826880).

13153910928 is an abundant number, since it is smaller than the sum of its proper divisors (21271742832).

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

13153910928 is a wasteful number, since it uses less digits than its factorization.

13153910928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 13153910928 in words is "thirteen billion, one hundred fifty-three million, nine hundred ten thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 613 712 1068 1226 1424 1839 2136 2452 3678 4272 4904 5023 7356 9808 10046 14712 15069 20092 29424 30138 40184 54557 60276 80368 109114 120552 163671 218228 241104 327342 436456 447047 654684 872912 894094 1309368 1341141 1788188 2618736 2682282 3079099 3576376 5364564 6158198 7152752 9237297 10729128 12316396 18474594 21458256 24632792 36949188 49265584 73898376 147796752 274039811 548079622 822119433 1096159244 1644238866 2192318488 3288477732 4384636976 6576955464 13153910928