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12915331416 = 233613170351
BaseRepresentation
bin11000000011101000…
…00101000101011000
31020100002110211000000
430001310011011120
5202422311101131
65533324213000
7635024335311
oct140164050530
936302424000
1012915331416
115528405719
12260539a160
1312aa998650
148a7409608
15508cc9ce6
hex301d05158

12915331416 has 112 divisors (see below), whose sum is σ = 39100894560. Its totient is φ = 3973924800.

The previous prime is 12915331397. The next prime is 12915331441. The reversal of 12915331416 is 61413351921.

12915331416 is a `hidden beast` number, since 1 + 291 + 53 + 314 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9360 + ... + 160991.

It is an arithmetic number, because the mean of its divisors is an integer number (349115130).

Almost surely, 212915331416 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 12915331416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19550447280).

12915331416 is an abundant number, since it is smaller than the sum of its proper divisors (26185563144).

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

12915331416 is a wasteful number, since it uses less digits than its factorization.

12915331416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170388 (or 170369 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 12915331416 in words is "twelve billion, nine hundred fifteen million, three hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 4212 5832 6318 8424 9477 12636 18954 25272 37908 75816 170351 340702 511053 681404 1022106 1362808 1533159 2044212 2214563 3066318 4088424 4429126 4599477 6132636 6643689 8858252 9198954 12265272 13287378 13798431 17716504 18397908 19931067 26574756 27596862 36795816 39862134 41395293 53149512 55193724 59793201 79724268 82790586 110387448 119586402 124185879 159448536 165581172 179379603 239172804 248371758 331162344 358759206 478345608 496743516 538138809 717518412 993487032 1076277618 1435036824 1614416427 2152555236 3228832854 4305110472 6457665708 12915331416