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38698596864 = 293219442007
BaseRepresentation
bin100100000010100111…
…011011101000000000
310200212222020102000100
4210002213123220000
51113223320044424
625440005122400
72536662434364
oct440247335000
9120788212010
1038698596864
1115459392664
1276000b9400
133859575a35
141c318032a4
15101761adc9
hex9029dba00

38698596864 has 120 divisors (see below), whose sum is σ = 117565287840. Its totient is φ = 12220581888.

The previous prime is 38698596857. The next prime is 38698596887. The reversal of 38698596864 is 46869589683.

38698596864 is a `hidden beast` number, since 386 + 9 + 85 + 96 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38698596792 and 38698596801.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 133452 + ... + 308555.

It is an arithmetic number, because the mean of its divisors is an integer number (979710732).

Almost surely, 238698596864 is an apocalyptic number.

It is an amenable number.

38698596864 is an abundant number, since it is smaller than the sum of its proper divisors (78866690976).

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

38698596864 is a wasteful number, since it uses less digits than its factorization.

38698596864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442050 (or 442031 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 38698596864 in words is "thirty-eight billion, six hundred ninety-eight million, five hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 43776 87552 442007 884014 1326021 1768028 2652042 3536056 3978063 5304084 7072112 7956126 8398133 10608168 14144224 15912252 16796266 21216336 25194399 28288448 31824504 33592532 42432672 50388798 56576896 63649008 67185064 75583197 84865344 100777596 113153792 127298016 134370128 151166394 169730688 201555192 226307584 254596032 268740256 302332788 339461376 403110384 509192064 537480512 604665576 678922752 806220768 1018384128 1074961024 1209331152 1612441536 2036768256 2149922048 2418662304 3224883072 4299844096 4837324608 6449766144 9674649216 12899532288 19349298432 38698596864