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38663525106 = 23219373055439
BaseRepresentation
bin100100000000100001…
…101001001011110010
310200210112020120121100
4210000201221023302
51113140330300411
625432313305230
72536055353353
oct440041511362
9120715216540
1038663525106
1115440608738
1275b0405216
13385221640b
141c2acb3d2a
1510144de456
hex9008692f2

38663525106 has 48 divisors (see below), whose sum is σ = 90563241600. Its totient is φ = 11879542944.

The previous prime is 38663525099. The next prime is 38663525137. The reversal of 38663525106 is 60152536683.

38663525106 is a `hidden beast` number, since 3 + 8 + 6 + 635 + 2 + 5 + 1 + 0 + 6 = 666.

It is a super-4 number, since 4×386635251064 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 1515066 + ... + 1540373.

It is an arithmetic number, because the mean of its divisors is an integer number (1886734200).

Almost surely, 238663525106 is an apocalyptic number.

38663525106 is an abundant number, since it is smaller than the sum of its proper divisors (51899716494).

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

38663525106 is a wasteful number, since it uses less digits than its factorization.

38663525106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055503 (or 3055500 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 38663525106 in words is "thirty-eight billion, six hundred sixty-three million, five hundred twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 12654 3055439 6110878 9166317 18332634 27498951 54997902 58053341 113051243 116106682 174160023 226102486 339153729 348320046 522480069 678307458 1017461187 1044960138 2034922374 2147973617 4295947234 6443920851 12887841702 19331762553 38663525106