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12915166368 = 2531310348691
BaseRepresentation
bin11000000011100110…
…11100110010100000
31020100002011102121010
430001303130302200
5202422240310433
65533320500520
7635023050156
oct140163346240
936302142533
1012915166368
115528302715
12260531a740
1312aa93b4a0
148a73a53d6
15508c95e63
hex301cdcca0

12915166368 has 48 divisors (see below), whose sum is σ = 36510185376. Its totient is φ = 3973896960.

The previous prime is 12915166361. The next prime is 12915166391. The reversal of 12915166368 is 86366151921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×129151663683 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12915166361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5173098 + ... + 5175593.

It is an arithmetic number, because the mean of its divisors is an integer number (760628862).

Almost surely, 212915166368 is an apocalyptic number.

It is an amenable number.

12915166368 is an abundant number, since it is smaller than the sum of its proper divisors (23595019008).

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

12915166368 is a wasteful number, since it uses less digits than its factorization.

12915166368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348717 (or 10348709 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The spelling of 12915166368 in words is "twelve billion, nine hundred fifteen million, one hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 10348691 20697382 31046073 41394764 62092146 82789528 124184292 134532983 165579056 248368584 269065966 331158112 403598949 496737168 538131932 807197898 993474336 1076263864 1614395796 2152527728 3228791592 4305055456 6457583184 12915166368