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13249961172 = 22327241218171
BaseRepresentation
bin11000101011100001…
…00101110011010100
31021012102010202201200
430111300211303110
5204113442224142
610030440352500
7646226545260
oct142560456324
937172122650
1013249961172
11568a291a38
122699475730
1313320cc816
148d9a350a0
1552837964c
hex315c25cd4

13249961172 has 72 divisors (see below), whose sum is σ = 38436670272. Its totient is φ = 3769977600.

The previous prime is 13249961111. The next prime is 13249961173. The reversal of 13249961172 is 27116994231.

13249961172 is a `hidden beast` number, since 1 + 3 + 24 + 9 + 9 + 611 + 7 + 2 = 666.

It is a super-2 number, since 2×132499611722 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249961173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48354 + ... + 169817.

Almost surely, 213249961172 is an apocalyptic number.

13249961172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13249961172 is an abundant number, since it is smaller than the sum of its proper divisors (25186709100).

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

13249961172 is a wasteful number, since it uses less digits than its factorization.

13249961172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218429 (or 218424 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 13249961172 in words is "thirteen billion, two hundred forty-nine million, nine hundred sixty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 241 252 482 723 964 1446 1687 2169 2892 3374 4338 5061 6748 8676 10122 15183 20244 30366 60732 218171 436342 654513 872684 1309026 1527197 1963539 2618052 3054394 3927078 4581591 6108788 7854156 9163182 13744773 18326364 27489546 52579211 54979092 105158422 157737633 210316844 315475266 368054477 473212899 630950532 736108954 946425798 1104163431 1472217908 1892851596 2208326862 3312490293 4416653724 6624980586 13249961172