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138575332104 = 233113581146581
BaseRepresentation
bin1000000100001110111…
…0111100001100001000
3111020200112221020210120
42001003232330030020
54232300241111404
6143354410143240
713004011613406
oct2010356741410
9436615836716
10138575332104
1153851187060
1222a34721b20
13100b5687541
1469c8338476
153910b079d9
hex2043bbc308

138575332104 has 64 divisors (see below), whose sum is σ = 378040841280. Its totient is φ = 41980512000.

The previous prime is 138575332099. The next prime is 138575332117. The reversal of 138575332104 is 401233575831.

138575332104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 872094 + ... + 1018674.

It is an arithmetic number, because the mean of its divisors is an integer number (5906888145).

Almost surely, 2138575332104 is an apocalyptic number.

It is an amenable number.

138575332104 is an abundant number, since it is smaller than the sum of its proper divisors (239465509176).

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

138575332104 is a wasteful number, since it uses less digits than its factorization.

138575332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150182 (or 150178 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 138575332104 in words is "one hundred thirty-eight billion, five hundred seventy-five million, three hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3581 7162 10743 14324 21486 28648 39391 42972 78782 85944 118173 146581 157564 236346 293162 315128 439743 472692 586324 879486 945384 1172648 1612391 1758972 3224782 3517944 4837173 6449564 9674346 12899128 19348692 38697384 524906561 1049813122 1574719683 2099626244 3149439366 4199252488 5773972171 6298878732 11547944342 12597757464 17321916513 23095888684 34643833026 46191777368 69287666052 138575332104