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138768346472 = 23715129356009
BaseRepresentation
bin1000000100111100111…
…1001110110101101000
3111021012000010101201212
42001033033032311220
54233144144041342
6143425503132252
713011544324460
oct2011717166550
9437160111655
10138768346472
1153940128668
1222a892a4088
1310116667022
146a05c1cba0
153922a32182
hex204f3ced68

138768346472 has 64 divisors (see below), whose sum is σ = 300356985600. Its totient is φ = 58875609600.

The previous prime is 138768346459. The next prime is 138768346499. The reversal of 138768346472 is 274643867831.

138768346472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2449604 + ... + 2505612.

It is an arithmetic number, because the mean of its divisors is an integer number (4693077900).

Almost surely, 2138768346472 is an apocalyptic number.

It is an amenable number.

138768346472 is an abundant number, since it is smaller than the sum of its proper divisors (161588639128).

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

138768346472 is a wasteful number, since it uses less digits than its factorization.

138768346472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56466 (or 56462 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 59.

The spelling of 138768346472 in words is "one hundred thirty-eight billion, seven hundred sixty-eight million, three hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 151 293 302 586 604 1057 1172 1208 2051 2114 2344 4102 4228 8204 8456 16408 44243 56009 88486 112018 176972 224036 309701 353944 392063 448072 619402 784126 1238804 1568252 2477608 3136504 8457359 16410637 16914718 32821274 33829436 59201513 65642548 67658872 114874459 118403026 131285096 229748918 236806052 459497836 473612104 918995672 2478006187 4956012374 9912024748 17346043309 19824049496 34692086618 69384173236 138768346472