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38072455512 = 233721319131071
BaseRepresentation
bin100011011101010010…
…111001000101011000
310122021100001010112220
4203131102321011120
51110433022034022
625253520504040
72515320350400
oct433522710530
9118240033486
1038072455512
11151679aa373
12746647b020
1337899265b0
141bb25b3800
15ecc68785c
hex8dd4b9158

38072455512 has 192 divisors, whose sum is σ = 125514547200. Its totient is φ = 9512536320.

The previous prime is 38072455483. The next prime is 38072455523. The reversal of 38072455512 is 21555427083.

It is a super-3 number, since 3×380724555123 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224937 + ... + 356007.

It is an arithmetic number, because the mean of its divisors is an integer number (653721600).

Almost surely, 238072455512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38072455512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62757273600).

38072455512 is an abundant number, since it is smaller than the sum of its proper divisors (87442091688).

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

38072455512 is a wasteful number, since it uses less digits than its factorization.

38072455512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131126 (or 131115 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 38072455512 in words is "thirty-eight billion, seventy-two million, four hundred fifty-five thousand, five hundred twelve".