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38159625042 = 23572112171941
BaseRepresentation
bin100011100010011111…
…011010101101010010
310122111102001210200000
4203202133122231102
51111122331000132
625310313110430
72520426314100
oct434237325522
9118442053600
1038159625042
1115202128100
12748b6b8416
1337a19c70b6
141bbddc4c70
15ed515587c
hex8e27dab52

38159625042 has 864 divisors, whose sum is σ = 125170194240. Its totient is φ = 8622028800.

The previous prime is 38159625041. The next prime is 38159625107. The reversal of 38159625042 is 24052695183.

38159625042 is a `hidden beast` number, since 3 + 8 + 1 + 596 + 2 + 50 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (38159625041) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 930722542 + ... + 930722582.

It is an arithmetic number, because the mean of its divisors is an integer number (144872910).

Almost surely, 238159625042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38159625042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62585097120).

38159625042 is an abundant number, since it is smaller than the sum of its proper divisors (87010569198).

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

38159625042 is a wasteful number, since it uses less digits than its factorization.

38159625042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 38159625042 in words is "thirty-eight billion, one hundred fifty-nine million, six hundred twenty-five thousand, forty-two".