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38086077144 = 23319149560551
BaseRepresentation
bin100011011110000110…
…110110101011011000
310122022021200011220210
4203132012312223120
51111000013432034
625255124451120
72515544212533
oct433606665330
9118267604823
1038086077144
1115174663515
12746ab49aa0
13378c6b572b
141bb431ba1a
15ecd9788e9
hex8de1b6ad8

38086077144 has 64 divisors (see below), whose sum is σ = 100899360000. Its totient is φ = 11946441600.

The previous prime is 38086077119. The next prime is 38086077193. The reversal of 38086077144 is 44177068083.

It is a junction number, because it is equal to n+sod(n) for n = 38086077093 and 38086077102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 212332 + ... + 348219.

It is an arithmetic number, because the mean of its divisors is an integer number (1576552500).

Almost surely, 238086077144 is an apocalyptic number.

It is an amenable number.

38086077144 is an abundant number, since it is smaller than the sum of its proper divisors (62813282856).

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

38086077144 is a wasteful number, since it uses less digits than its factorization.

38086077144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560728 (or 560724 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 38086077144 in words is "thirty-eight billion, eighty-six million, seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 149 152 228 298 447 456 596 894 1192 1788 2831 3576 5662 8493 11324 16986 22648 33972 67944 560551 1121102 1681653 2242204 3363306 4484408 6726612 10650469 13453224 21300938 31951407 42601876 63902814 83522099 85203752 127805628 167044198 250566297 255611256 334088396 501132594 668176792 1002265188 1586919881 2004530376 3173839762 4760759643 6347679524 9521519286 12695359048 19043038572 38086077144