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204105642012 = 223217333505951
BaseRepresentation
bin1011111000010110100…
…1001111000000011100
3201111211110202220112200
42332011221033000130
511321002021021022
6233433112131500
720513633221536
oct2760551170034
9644743686480
10204105642012
117961934a878
1233682696b90
1316329aab44c
149c43494856
155498b15bac
hex2f85a4f01c

204105642012 has 36 divisors (see below), whose sum is σ = 546282749376. Its totient is φ = 64033142400.

The previous prime is 204105642007. The next prime is 204105642017. The reversal of 204105642012 is 210246501402.

204105642012 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 0 + 5 + 642 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (204105642007) and next prime (204105642017).

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

It is a super-2 number, since 2×2041056420122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204105642017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166752364 + ... + 166753587.

It is an arithmetic number, because the mean of its divisors is an integer number (15174520816).

Almost surely, 2204105642012 is an apocalyptic number.

It is an amenable number.

204105642012 is an abundant number, since it is smaller than the sum of its proper divisors (342177107364).

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

204105642012 is a wasteful number, since it uses less digits than its factorization.

204105642012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333505978 (or 333505973 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 204105642012 in words is "two hundred four billion, one hundred five million, six hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 333505951 667011902 1000517853 1334023804 2001035706 3001553559 4002071412 5669601167 6003107118 11339202334 12006214236 17008803501 22678404668 34017607002 51026410503 68035214004 102052821006 204105642012