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13201251325632 = 263222918839107
BaseRepresentation
bin1100000000011010011111…
…1001010101011011000000
31201202000201220101010211200
43000012213321111123000
53212242130314410012
644024323210541200
72531521212552156
oct300064771253300
951660656333750
1013201251325632
11422a68a243407
1215925a8437800
13749b462cc656
14338d303973d6
1517d5dc8d43dc
hexc01a7e556c0

13201251325632 has 42 divisors (see below), whose sum is σ = 37839003367308. Its totient is φ = 4400417108352.

The previous prime is 13201251325607. The next prime is 13201251325651. The reversal of 13201251325632 is 23652315210231.

13201251325632 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 2 + 5 + 13 + 2 + 5 + 632 = 666.

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

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 5 ways as a sum of consecutive naturals, for example, 11459418978 + ... + 11459420129.

Almost surely, 213201251325632 is an apocalyptic number.

13201251325632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13201251325632 is an abundant number, since it is smaller than the sum of its proper divisors (24637752041676).

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

13201251325632 is a wasteful number, since it uses less digits than its factorization.

13201251325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22918839125 (or 22918839112 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13201251325632 its reverse (23652315210231), we get a palindrome (36853566535863).

The spelling of 13201251325632 in words is "thirteen trillion, two hundred one billion, two hundred fifty-one million, three hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22918839107 45837678214 68756517321 91675356428 137513034642 183350712856 206269551963 275026069284 366701425712 412539103926 550052138568 733402851424 825078207852 1100104277136 1466805702848 1650156415704 2200208554272 3300312831408 4400417108544 6600625662816 13201251325632