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13378539168 = 2532232019707
BaseRepresentation
bin11000111010110110…
…00100111010100000
31021112101002012120200
430131123010322200
5204344401223133
610051312305200
7652350464241
oct143533047240
937471065520
1013378539168
115745922545
122714542200
13135293ac87
1490cb44cc8
155347c6913
hex31d6c4ea0

13378539168 has 72 divisors (see below), whose sum is σ = 39699380448. Its totient is φ = 4265619072.

The previous prime is 13378539157. The next prime is 13378539169. The reversal of 13378539168 is 86193587331.

13378539168 is a `hidden beast` number, since 1 + 33 + 78 + 539 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13378539169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003230 + ... + 1016477.

It is an arithmetic number, because the mean of its divisors is an integer number (551380284).

Almost surely, 213378539168 is an apocalyptic number.

13378539168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13378539168 is an abundant number, since it is smaller than the sum of its proper divisors (26320841280).

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

13378539168 is a wasteful number, since it uses less digits than its factorization.

13378539168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019746 (or 2019735 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 13378539168 in words is "thirteen billion, three hundred seventy-eight million, five hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 2019707 4039414 6059121 8078828 12118242 16157656 18177363 24236484 32315312 36354726 46453261 48472968 64630624 72709452 92906522 96945936 139359783 145418904 185813044 193891872 278719566 290837808 371626088 418079349 557439132 581675616 743252176 836158698 1114878264 1486504352 1672317396 2229756528 3344634792 4459513056 6689269584 13378539168