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138868479920 = 2453746915027
BaseRepresentation
bin1000000101010100110…
…1001101011110110000
3111021102222112201000002
42001111031031132300
54233400312324140
6143443441245132
713014201413642
oct2012515153660
9437388481002
10138868479920
1153991700385
1222ab69337a8
13101313264a1
146a15246892
15392b711415
hex205534d7b0

138868479920 has 40 divisors (see below), whose sum is σ = 331595417904. Its totient is φ = 54046109952.

The previous prime is 138868479889. The next prime is 138868479943. The reversal of 138868479920 is 29974868831.

It is a happy number.

138868479920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23454554 + ... + 23460473.

Almost surely, 2138868479920 is an apocalyptic number.

138868479920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138868479920 is an abundant number, since it is smaller than the sum of its proper divisors (192726937984).

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

138868479920 is a wasteful number, since it uses less digits than its factorization.

138868479920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46915077 (or 46915071 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 65.

The spelling of 138868479920 in words is "one hundred thirty-eight billion, eight hundred sixty-eight million, four hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 46915027 93830054 187660108 234575135 375320216 469150270 750640432 938300540 1735855999 1876601080 3471711998 3753202160 6943423996 8679279995 13886847992 17358559990 27773695984 34717119980 69434239960 138868479920