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38007098688 = 2631343354121
BaseRepresentation
bin100011011001011001…
…100100110101000000
310122002210001122211210
4203121121210311000
51110314304124223
625243224010120
72513565002616
oct433131446500
9118083048753
1038007098688
111513401a869
127448600940
133779222310
141ba7a3d6b6
15ec6a77893
hex8d9664d40

38007098688 has 112 divisors (see below), whose sum is σ = 110814689216. Its totient is φ = 11422494720.

The previous prime is 38007098681. The next prime is 38007098707. The reversal of 38007098688 is 88689070083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38007098681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69733 + ... + 284388.

It is an arithmetic number, because the mean of its divisors is an integer number (989416868).

Almost surely, 238007098688 is an apocalyptic number.

It is an amenable number.

38007098688 is an abundant number, since it is smaller than the sum of its proper divisors (72807590528).

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

38007098688 is a wasteful number, since it uses less digits than its factorization.

38007098688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354192 (or 354182 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 38007098688 in words is "thirty-eight billion, seven million, ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 129 156 172 192 208 258 312 344 416 516 559 624 688 832 1032 1118 1248 1376 1677 2064 2236 2496 2752 3354 4128 4472 6708 8256 8944 13416 17888 26832 35776 53664 107328 354121 708242 1062363 1416484 2124726 2832968 4249452 4603573 5665936 8498904 9207146 11331872 13810719 15227203 16997808 18414292 22663744 27621438 30454406 33995616 36828584 45681609 55242876 60908812 67991232 73657168 91363218 110485752 121817624 147314336 182726436 197953639 220971504 243635248 294628672 365452872 395907278 441943008 487270496 593860917 730905744 791814556 883886016 974540992 1187721834 1461811488 1583629112 2375443668 2923622976 3167258224 4750887336 6334516448 9501774672 12669032896 19003549344 38007098688