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38599879968 = 2534131145533
BaseRepresentation
bin100011111100101110…
…110110110100100000
310200122002111001220000
4203330232312310200
51113023032124333
625422121220000
72534353365126
oct437456666440
9120562431800
1038599879968
1115408698151
127593031600
133841c91280
141c22667916
15100db1b713
hex8fcbb6d20

38599879968 has 120 divisors (see below), whose sum is σ = 122253679548. Its totient is φ = 11876875776.

The previous prime is 38599879949. The next prime is 38599879987. The reversal of 38599879968 is 86997899583.

It is a happy number.

38599879968 is a `hidden beast` number, since 385 + 9 + 98 + 7 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (38599879949) and next prime (38599879987).

It can be written as a sum of positive squares in 2 ways, for example, as 38395618704 + 204261264 = 195948^2 + 14292^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 539071 + ... + 606462.

Almost surely, 238599879968 is an apocalyptic number.

It is an amenable number.

38599879968 is an abundant number, since it is smaller than the sum of its proper divisors (83653799580).

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

38599879968 is a wasteful number, since it uses less digits than its factorization.

38599879968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145568 (or 1145551 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 81.

The spelling of 38599879968 in words is "thirty-eight billion, five hundred ninety-nine million, eight hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 1145533 2291066 3436599 4582132 6873198 9164264 10309797 13746396 14891929 18328528 20619594 27492792 29783858 30929391 36657056 41239188 44675787 54985584 59567716 61858782 82478376 89351574 92788173 109971168 119135432 123717564 134027361 164956752 178703148 185576346 238270864 247435128 268054722 329913504 357406296 371152692 402082083 476541728 494870256 536109444 714812592 742305384 804164166 989740512 1072218888 1206246249 1429625184 1484610768 1608328332 2144437776 2412492498 2969221536 3216656664 4288875552 4824984996 6433313328 9649969992 12866626656 19299939984 38599879968