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38705401917 = 32713155330431
BaseRepresentation
bin100100000011000001…
…011001000000111101
310200220110001010210100
4210003001121000331
51113232040330132
625440411031313
72540104326240
oct440301310075
9120813033710
1038705401917
1115462210376
12760243b539
13385aab92b0
141c32695257
15101801237c
hex90305903d

38705401917 has 48 divisors (see below), whose sum is σ = 68856173568. Its totient is φ = 20402219520.

The previous prime is 38705401907. The next prime is 38705401937. The reversal of 38705401917 is 71910450783.

38705401917 is a `hidden beast` number, since 3 + 87 + 0 + 540 + 19 + 17 = 666.

It is not a de Polignac number, because 38705401917 - 214 = 38705385533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38705401907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256692 + ... + 1287122.

It is an arithmetic number, because the mean of its divisors is an integer number (1434503616).

Almost surely, 238705401917 is an apocalyptic number.

It is an amenable number.

38705401917 is a deficient number, since it is larger than the sum of its proper divisors (30150771651).

38705401917 is a wasteful number, since it uses less digits than its factorization.

38705401917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32010 (or 32007 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 38705401917 in words is "thirty-eight billion, seven hundred five million, four hundred one thousand, nine hundred seventeen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1553 4659 10871 13977 20189 30431 32613 60567 91293 97839 141323 181701 213017 273879 395603 423969 639051 1186809 1271907 1917153 2769221 3560427 8307663 24922989 47259343 141778029 330815401 425334087 614371459 992446203 1843114377 2977338609 4300600213 5529343131 12901800639 38705401917