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938054383812 = 22337131713274231
BaseRepresentation
bin11011010011010000110…
…01011111100011000100
310022200021121211002002000
431221220121133203010
5110332113410240222
61554534120545300
7124525601462640
oct15515031374304
93280247732060
10938054383812
11331910276677
12131974622230
136a5c5725b90
143358b413c20
15196032e49ac
hexda6865f8c4

938054383812 has 384 divisors, whose sum is σ = 3172431790080. Its totient is φ = 232615618560.

The previous prime is 938054383769. The next prime is 938054383813. The reversal of 938054383812 is 218383450839.

938054383812 is a `hidden beast` number, since 9 + 3 + 8 + 0 + 543 + 83 + 8 + 12 = 666.

938054383812 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 2×9380543838122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (938054383813) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221707737 + ... + 221711967.

It is an arithmetic number, because the mean of its divisors is an integer number (8261541120).

Almost surely, 2938054383812 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 938054383812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586215895040).

938054383812 is an abundant number, since it is smaller than the sum of its proper divisors (2234377406268).

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

938054383812 is a wasteful number, since it uses less digits than its factorization.

938054383812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 938054383812 in words is "nine hundred thirty-eight billion, fifty-four million, three hundred eighty-three thousand, eight hundred twelve".