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238982679936 = 27347111323027
BaseRepresentation
bin1101111010010001111…
…0100100110110000000
3211211212010002000020000
43132210132210312000
512403414031224221
6301442004120000
723160133156050
oct3364436446600
9754763060200
10238982679936
1192396546660
123a396996000
13196c76abbb0
14b7d1513560
15633a9a7e26
hex37a47a4d80

238982679936 has 640 divisors, whose sum is σ = 954950895360. Its totient is φ = 57296056320.

The previous prime is 238982679919. The next prime is 238982679941. The reversal of 238982679936 is 639976289832.

It is a super-2 number, since 2×2389826799362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10366855 + ... + 10389881.

It is an arithmetic number, because the mean of its divisors is an integer number (1492110774).

Almost surely, 2238982679936 is an apocalyptic number.

238982679936 is a gapful number since it is divisible by the number (26) 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 238982679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477475447680).

238982679936 is an abundant number, since it is smaller than the sum of its proper divisors (715968215424).

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

238982679936 is a wasteful number, since it uses less digits than its factorization.

238982679936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23084 (or 23063 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 238982679936 in words is "two hundred thirty-eight billion, nine hundred eighty-two million, six hundred seventy-nine thousand, nine hundred thirty-six".