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204271356132 = 223217332798869
BaseRepresentation
bin1011111000111110000…
…1011000100011100100
3201112021000121001120200
42332033201120203210
511321321431344012
6233501352030500
720521014610224
oct2761741304344
9645230531520
10204271356132
11796a3945298
123370a092430
131635521ca3c
149c5b4b0084
1554a844b3dc
hex2f8f8588e4

204271356132 has 36 divisors (see below), whose sum is σ = 519337307580. Its totient is φ = 67696863552.

The previous prime is 204271356127. The next prime is 204271356139. The reversal of 204271356132 is 231653172402.

204271356132 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 7 + 1 + 35 + 613 + 2 = 666.

204271356132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111894264036 + 92377092096 = 334506^2 + 303936^2 .

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

It is a super-3 number, since 3×2042713561323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204271356139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16393207 + ... + 16405662.

Almost surely, 2204271356132 is an apocalyptic number.

It is an amenable number.

204271356132 is an abundant number, since it is smaller than the sum of its proper divisors (315065951448).

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

204271356132 is a wasteful number, since it uses less digits than its factorization.

204271356132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32799052 (or 32799047 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 204271356132 in words is "two hundred four billion, two hundred seventy-one million, three hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 32798869 65597738 98396607 131195476 196793214 295189821 393586428 590379642 1180759284 5674204337 11348408674 17022613011 22696817348 34045226022 51067839033 68090452044 102135678066 204271356132