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18968605956 = 2232895920289
BaseRepresentation
bin10001101010100111…
…011111010100000100
31210221221210000121100
4101222213133110010
5302321430342311
612414123020100
71241026330116
oct215247372404
953857700540
1018968605956
118054313453
12381466a630
131a33ac80c1
14cbd3253b6
15760437a56
hex46a9df504

18968605956 has 36 divisors (see below), whose sum is σ = 48487175100. Its totient is φ = 6251824128.

The previous prime is 18968605927. The next prime is 18968605963. The reversal of 18968605956 is 65950686981.

18968605956 is a `hidden beast` number, since 18 + 9 + 6 + 8 + 605 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11581203456 + 7387402500 = 107616^2 + 85950^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 18968605893 and 18968605902.

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 11 ways as a sum of consecutive naturals, for example, 2956941 + ... + 2963348.

It is an arithmetic number, because the mean of its divisors is an integer number (1346865975).

Almost surely, 218968605956 is an apocalyptic number.

It is an amenable number.

18968605956 is an abundant number, since it is smaller than the sum of its proper divisors (29518569144).

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

18968605956 is a wasteful number, since it uses less digits than its factorization.

18968605956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920388 (or 5920383 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 18968605956 in words is "eighteen billion, nine hundred sixty-eight million, six hundred five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 5920289 11840578 17760867 23681156 35521734 53282601 71043468 106565202 213130404 526905721 1053811442 1580717163 2107622884 3161434326 4742151489 6322868652 9484302978 18968605956