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12929195952 = 2432611471903
BaseRepresentation
bin11000000101010001…
…11101111110110000
31020101001120012120100
430002220331332300
5202434333232302
65534541312400
7635253231561
oct140250757660
936331505510
1012929195952
115535215312
122609b65700
1312b081120a
148a91b8168
1550a117d1c
hex302a3dfb0

12929195952 has 60 divisors (see below), whose sum is σ = 36776993344. Its totient is φ = 4239077760.

The previous prime is 12929195927. The next prime is 12929195953. The reversal of 12929195952 is 25959192921.

12929195952 is a `hidden beast` number, since 1 + 29 + 29 + 1 + 9 + 595 + 2 = 666.

12929195952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12929195953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727168 + ... + 744735.

Almost surely, 212929195952 is an apocalyptic number.

12929195952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12929195952 is an abundant number, since it is smaller than the sum of its proper divisors (23847797392).

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

12929195952 is a wasteful number, since it uses less digits than its factorization.

12929195952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471978 (or 1471969 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 54.

The spelling of 12929195952 in words is "twelve billion, nine hundred twenty-nine million, one hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 1471903 2943806 4415709 5887612 8831418 11775224 13247127 17662836 23550448 26494254 35325672 52988508 70651344 89786083 105977016 179572166 211954032 269358249 359144332 538716498 718288664 808074747 1077432996 1436577328 1616149494 2154865992 3232298988 4309731984 6464597976 12929195952