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18733006152 = 2332725309809
BaseRepresentation
bin10001011100100100…
…101111110101001000
31210100112110022102200
4101130210233311020
5301331122144102
612334505200200
71232135632200
oct213444576510
953315408380
1018733006152
117a43325873
123769790060
1319c7058033
14c99d17400
157498ea51c
hex45c92fd48

18733006152 has 72 divisors (see below), whose sum is σ = 59018538150. Its totient is φ = 5352286464.

The previous prime is 18733006111. The next prime is 18733006177. The reversal of 18733006152 is 25160033781.

18733006152 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 30 + 0 + 615 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16120365156 + 2612640996 = 126966^2 + 51114^2 .

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 an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2651377 + ... + 2658432.

Almost surely, 218733006152 is an apocalyptic number.

18733006152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18733006152 is an abundant number, since it is smaller than the sum of its proper divisors (40285531998).

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

18733006152 is a wasteful number, since it uses less digits than its factorization.

18733006152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309835 (or 5309821 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 18733006152 in words is "eighteen billion, seven hundred thirty-three million, six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 5309809 10619618 15929427 21239236 31858854 37168663 42478472 47788281 63717708 74337326 95576562 111505989 127435416 148674652 191153124 223011978 260180641 297349304 334517967 382306248 446023956 520361282 669035934 780541923 892047912 1040722564 1338071868 1561083846 2081445128 2341625769 2676143736 3122167692 4683251538 6244335384 9366503076 18733006152