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23728638312 = 233436618269
BaseRepresentation
bin10110000110010101…
…100100100101101000
32021020200121201110000
4112012111210211220
5342044012411222
614522323023000
71500006045351
oct260625444550
967220551400
1023728638312
11a07721a195
12472280aa60
1323120177b2
14121159cd28
1593d28c9ac
hex586564968

23728638312 has 40 divisors (see below), whose sum is σ = 66462160050. Its totient is φ = 7909545888.

The previous prime is 23728638277. The next prime is 23728638317. The reversal of 23728638312 is 21383682732.

23728638312 is a `hidden beast` number, since 2 + 3 + 7 + 2 + 8 + 638 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15844263876 + 7884374436 = 125874^2 + 88794^2 .

It is a super-2 number, since 2×237286383122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23728638317) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18308487 + ... + 18309782.

Almost surely, 223728638312 is an apocalyptic number.

It is an amenable number.

23728638312 is an abundant number, since it is smaller than the sum of its proper divisors (42733521738).

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

23728638312 is a wasteful number, since it uses less digits than its factorization.

23728638312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36618287 (or 36618274 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 23728638312 in words is "twenty-three billion, seven hundred twenty-eight million, six hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 36618269 73236538 109854807 146473076 219709614 292946152 329564421 439419228 659128842 878838456 988693263 1318257684 1977386526 2636515368 2966079789 3954773052 5932159578 7909546104 11864319156 23728638312