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238387084068 = 22373374359617
BaseRepresentation
bin1101111000000011111…
…0100011101100100100
3211210022121100121021210
43132000332203230210
512401204043142233
6301302530311420
723136311532000
oct3360076435444
9753277317253
10238387084068
1192110326671
123a24b428570
1319631195ac3
14b776395700
15630355a163
hex3780fa3b24

238387084068 has 384 divisors, whose sum is σ = 694374912000. Its totient is φ = 63528385536.

The previous prime is 238387084063. The next prime is 238387084079. The reversal of 238387084068 is 860480783832.

It is a happy number.

238387084068 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-4 number, since 4×2383870840684 (a number of 47 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 238387083999 and 238387084017.

It is not an unprimeable number, because it can be changed into a prime (238387084063) 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 127 ways as a sum of consecutive naturals, for example, 386364496 + ... + 386365112.

It is an arithmetic number, because the mean of its divisors is an integer number (1808268000).

Almost surely, 2238387084068 is an apocalyptic number.

238387084068 is a gapful number since it is divisible by the number (28) 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 238387084068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347187456000).

238387084068 is an abundant number, since it is smaller than the sum of its proper divisors (455987827932).

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

238387084068 is a wasteful number, since it uses less digits than its factorization.

238387084068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 238387084068 in words is "two hundred thirty-eight billion, three hundred eighty-seven million, eighty-four thousand, sixty-eight".