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137112432468 = 223111761101797
BaseRepresentation
bin111111110110010001…
…0011010111101010100
3111002220121020020202120
41333230202122331110
54221301240314333
6142553311135540
712622526306034
oct1775442327524
9432817206676
10137112432468
11531704369a0
12226a68145b0
13cc1158505b
1468c9d318c4
15387748adb3
hex1fec89af54

137112432468 has 48 divisors (see below), whose sum is σ = 369543674304. Its totient is φ = 39105149440.

The previous prime is 137112432439. The next prime is 137112432473. The reversal of 137112432468 is 864234211731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30548655 + ... + 30553142.

It is an arithmetic number, because the mean of its divisors is an integer number (7698826548).

Almost surely, 2137112432468 is an apocalyptic number.

It is an amenable number.

137112432468 is an abundant number, since it is smaller than the sum of its proper divisors (232431241836).

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

137112432468 is a wasteful number, since it uses less digits than its factorization.

137112432468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61101832 (or 61101830 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 137112432468 in words is "one hundred thirty-seven billion, one hundred twelve million, four hundred thirty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 61101797 122203594 183305391 244407188 366610782 672119767 733221564 1038730549 1344239534 2016359301 2077461098 2688479068 3116191647 4032718602 4154922196 6232383294 8065437204 11426036039 12464766588 22852072078 34278108117 45704144156 68556216234 137112432468