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38034368125 = 541347137727
BaseRepresentation
bin100011011011000001…
…100110011001111101
310122011200101002110221
4203123001212121331
51110343244240000
625250040301341
72514345536425
oct433301463175
9118150332427
1038034368125
1115148455796
127455771851
133781a7c490
141bab4db485
15ec916261a
hex8db06667d

38034368125 has 80 divisors (see below), whose sum is σ = 52726722048. Its totient is φ = 27251136000.

The previous prime is 38034368123. The next prime is 38034368149. The reversal of 38034368125 is 52186343083.

It is not a de Polignac number, because 38034368125 - 21 = 38034368123 is a prime.

It is a super-2 number, since 2×380343681252 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38034368123) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 52316512 + ... + 52317238.

Almost surely, 238034368125 is an apocalyptic number.

It is an amenable number.

38034368125 is a deficient number, since it is larger than the sum of its proper divisors (14692353923).

38034368125 is a wasteful number, since it uses less digits than its factorization.

38034368125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 38034368125 in words is "thirty-eight billion, thirty-four million, three hundred sixty-eight thousand, one hundred twenty-five".

Divisors: 1 5 13 25 47 65 125 137 235 325 611 625 685 727 1175 1625 1781 3055 3425 3635 5875 6439 8125 8905 9451 15275 17125 18175 29375 32195 34169 44525 47255 76375 83707 85625 90875 99599 160975 170845 222625 236275 381875 418535 444197 454375 497995 804875 854225 1113125 1181375 1294787 2092675 2220985 2489975 4024375 4271125 4681153 5906875 6473935 10463375 11104925 12449875 21355625 23405765 32369675 52316875 55524625 60854989 62249375 117028825 161848375 277623125 304274945 585144125 809241875 1521374725 2925720625 7606873625 38034368125