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12601376352 = 2532431017553
BaseRepresentation
bin10111011110001100…
…11011111001100000
31012112012201020121200
423233012123321200
5201301423020402
65442231121200
7624162634365
oct135706337140
935465636550
1012601376352
11538716a624
122538213200
13125a922a16
1487784246c
154db46121c
hex2ef19be60

12601376352 has 72 divisors (see below), whose sum is σ = 36668575944. Its totient is φ = 4102769664.

The previous prime is 12601376311. The next prime is 12601376369. The reversal of 12601376352 is 25367310621.

12601376352 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 13 + 7 + 635 + 2 = 666.

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

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496393 + ... + 521160.

It is an arithmetic number, because the mean of its divisors is an integer number (509285777).

Almost surely, 212601376352 is an apocalyptic number.

12601376352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12601376352 is an abundant number, since it is smaller than the sum of its proper divisors (24067199592).

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

12601376352 is a wasteful number, since it uses less digits than its factorization.

12601376352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017612 (or 1017601 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 12601376352 its reverse (25367310621), we get a palindrome (37968686973).

The spelling of 12601376352 in words is "twelve billion, six hundred one million, three hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 1017553 2035106 3052659 4070212 6105318 8140424 9157977 12210636 16280848 18315954 24421272 32561696 36631908 43754779 48842544 73263816 87509558 97685088 131264337 146527632 175019116 262528674 293055264 350038232 393793011 525057348 700076464 787586022 1050114696 1400152928 1575172044 2100229392 3150344088 4200458784 6300688176 12601376352