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238360993920 = 2735572311009
BaseRepresentation
bin1101110111111101101…
…1000010000010000000
3211210020210021002100000
43131333123002002000
512401130403301140
6301300155200000
723135544006300
oct3357733020200
9753223232300
10238360993920
11920a7626765
123a242746000
131962895c64a
14b772b23600
156301104a30
hex377f6c2080

238360993920 has 1152 divisors, whose sum is σ = 1025980300800. Its totient is φ = 52672757760.

The previous prime is 238360993919. The next prime is 238360993943. The reversal of 238360993920 is 29399063832.

238360993920 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 609 + 9 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 236234376 + ... + 236235384.

It is an arithmetic number, because the mean of its divisors is an integer number (890607900).

Almost surely, 2238360993920 is an apocalyptic number.

238360993920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238360993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512990150400).

238360993920 is an abundant number, since it is smaller than the sum of its proper divisors (787619306880).

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

238360993920 is a wasteful number, since it uses less digits than its factorization.

238360993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 238360993920 in words is "two hundred thirty-eight billion, three hundred sixty million, nine hundred ninety-three thousand, nine hundred twenty".