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38913724017 = 3272671498839
BaseRepresentation
bin100100001111011100…
…000100111001110001
310201102222000222222200
4210033130010321301
51114143403132032
625513212053413
72545214124300
oct441734047161
9121388028880
1038913724017
11155598678a3
127660164269
133891cc84cc
141c52202437
15102b46247c
hex90f704e71

38913724017 has 72 divisors (see below), whose sum is σ = 66814488000. Its totient is φ = 21755055168.

The previous prime is 38913723983. The next prime is 38913724039. The reversal of 38913724017 is 71042731983.

38913724017 is a `hidden beast` number, since 389 + 13 + 7 + 240 + 17 = 666.

It is not a de Polignac number, because 38913724017 - 212 = 38913719921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38913724417) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4398084 + ... + 4406922.

It is an arithmetic number, because the mean of its divisors is an integer number (927979000).

Almost surely, 238913724017 is an apocalyptic number.

It is an amenable number.

38913724017 is a deficient number, since it is larger than the sum of its proper divisors (27900763983).

38913724017 is a wasteful number, since it uses less digits than its factorization.

38913724017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9075 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 38913724017 in words is "thirty-eight billion, nine hundred thirteen million, seven hundred twenty-four thousand, seventeen".

Divisors: 1 3 7 9 21 49 63 67 147 149 201 441 447 469 603 1043 1341 1407 3129 3283 4221 7301 8839 9387 9849 9983 21903 26517 29547 29949 61873 65709 69881 79551 89847 185619 209643 433111 489167 556857 592213 628929 1299333 1317011 1467501 1776639 3897999 3951033 4145491 4402503 5329917 9219077 11853099 12436473 27657231 29018437 37309419 64533539 82971693 87055311 88239737 193600617 261165933 264719211 580801851 617678159 794157633 1853034477 4323747113 5559103431 12971241339 38913724017