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38129290992 = 24321320368211
BaseRepresentation
bin100011100000101011…
…101100111011110000
310122102021222200011200
4203200223230323300
51111042044302432
625303311011200
72516610424452
oct434053547360
9118367880150
1038129290992
1115196a99741
127481509b00
133798636060
141bb9d6a2d2
15ed2662a7c
hex8e0aecef0

38129290992 has 60 divisors (see below), whose sum is σ = 114917452104. Its totient is φ = 11732088960.

The previous prime is 38129290963. The next prime is 38129291047. The reversal of 38129290992 is 29909292183.

38129290992 is a `hidden beast` number, since 381 + 2 + 92 + 90 + 9 + 92 = 666.

38129290992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×381292909922 (a number of 22 digits) contains 22 as substring.

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, 10182234 + ... + 10185977.

Almost surely, 238129290992 is an apocalyptic number.

It is an amenable number.

38129290992 is an abundant number, since it is smaller than the sum of its proper divisors (76788161112).

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

38129290992 is a wasteful number, since it uses less digits than its factorization.

38129290992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20368238 (or 20368229 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 38129290992 in words is "thirty-eight billion, one hundred twenty-nine million, two hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 20368211 40736422 61104633 81472844 122209266 162945688 183313899 244418532 264786743 325891376 366627798 488837064 529573486 733255596 794360229 977674128 1059146972 1466511192 1588720458 2118293944 2383080687 2933022384 3177440916 4236587888 4766161374 6354881832 9532322748 12709763664 19064645496 38129290992