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151315946136 = 233217123624139
BaseRepresentation
bin1000110011101100100…
…0100001101010011000
3112110120110122111121100
42030323020201222120
54434343340234021
6153302533511400
713634515214625
oct2147310415230
9473513574540
10151315946136
11591999a7a43
12253ab4a2560
13113660ab604
14747646334c
153e093be626
hex233b221a98

151315946136 has 48 divisors (see below), whose sum is σ = 433920731400. Its totient is φ = 47471668992.

The previous prime is 151315946107. The next prime is 151315946137. The reversal of 151315946136 is 631649513151.

151315946136 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 159 + 461 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151315946091 and 151315946100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151315946137) 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, 61810846 + ... + 61813293.

Almost surely, 2151315946136 is an apocalyptic number.

It is an amenable number.

151315946136 is an abundant number, since it is smaller than the sum of its proper divisors (282604785264).

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

151315946136 is a wasteful number, since it uses less digits than its factorization.

151315946136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123624168 (or 123624161 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 151315946136 in words is "one hundred fifty-one billion, three hundred fifteen million, nine hundred forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 123624139 247248278 370872417 494496556 741744834 988993112 1112617251 1483489668 2101610363 2225234502 2966979336 4203220726 4450469004 6304831089 8406441452 8900938008 12609662178 16812882904 18914493267 25219324356 37828986534 50438648712 75657973068 151315946136