Search a number
-
+
13376168352 = 2532311914891
BaseRepresentation
bin11000111010100100…
…00010000110100000
31021112012121202102200
430131102002012200
5204343244341402
610051145413200
7652321361241
oct143522020640
937465552380
1013376168352
115744553298
12271379a200
1313522bab21
1490c6c8cc8
155344a921c
hex31d4821a0

13376168352 has 72 divisors (see below), whose sum is σ = 38053229760. Its totient is φ = 4456993920.

The previous prime is 13376168347. The next prime is 13376168357. The reversal of 13376168352 is 25386167331.

13376168352 is a `hidden beast` number, since 133 + 7 + 6 + 168 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (13376168347) and next prime (13376168357).

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

It is a junction number, because it is equal to n+sod(n) for n = 13376168298 and 13376168307.

It is not an unprimeable number, because it can be changed into a prime (13376168357) 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, 890827 + ... + 905717.

It is an arithmetic number, because the mean of its divisors is an integer number (528517080).

Almost surely, 213376168352 is an apocalyptic number.

13376168352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13376168352 is an abundant number, since it is smaller than the sum of its proper divisors (24677061408).

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

13376168352 is a wasteful number, since it uses less digits than its factorization.

13376168352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18026 (or 18015 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 13376168352 in words is "thirteen billion, three hundred seventy-six million, one hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3119 6238 9357 12476 14891 18714 24952 28071 29782 37428 44673 49904 56142 59564 74856 89346 99808 112284 119128 134019 149712 178692 224568 238256 268038 299424 357384 449136 476512 536076 714768 898272 1072152 1429536 2144304 4288608 46445029 92890058 139335087 185780116 278670174 371560232 418005261 557340348 743120464 836010522 1114680696 1486240928 1672021044 2229361392 3344042088 4458722784 6688084176 13376168352