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38044385136 = 24321715541007
BaseRepresentation
bin100011011011100111…
…110011111101110000
310122012101020000020100
4203123213303331300
51110403330311021
625251035112400
72514526636512
oct433347637560
9118171200210
1038044385136
111515307770a
127458ba2700
133783b789c4
141bac987bb2
15ec9e90626
hex8db9f3f70

38044385136 has 60 divisors (see below), whose sum is σ = 112734472032. Its totient is φ = 11935492608.

The previous prime is 38044385033. The next prime is 38044385143. The reversal of 38044385136 is 63158344083.

38044385136 is a `hidden beast` number, since 3 + 80 + 4 + 438 + 5 + 136 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38044385091 and 38044385100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7768056 + ... + 7772951.

Almost surely, 238044385136 is an apocalyptic number.

38044385136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38044385136 is an abundant number, since it is smaller than the sum of its proper divisors (74690086896).

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

38044385136 is a wasteful number, since it uses less digits than its factorization.

38044385136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541038 (or 15541029 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38044385136 in words is "thirty-eight billion, forty-four million, three hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 15541007 31082014 46623021 62164028 93246042 124328056 139869063 186492084 248656112 264197119 279738126 372984168 528394238 559476252 745968336 792591357 1056788476 1118952504 1585182714 2113576952 2237905008 2377774071 3170365428 4227153904 4755548142 6340730856 9511096284 12681461712 19022192568 38044385136