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238898929464 = 233213255233899
BaseRepresentation
bin1101111001111101111…
…1000101111100111000
3211211122021111001011200
43132133133011330320
512403231111220324
6301425413054200
723155065252426
oct3363737057470
9754567431150
10238898929464
1192353243698
123a372927360
13196b32376c0
14b7c4352116
156333462ec9
hex379f7c5f38

238898929464 has 48 divisors (see below), whose sum is σ = 696788547000. Its totient is φ = 73507362624.

The previous prime is 238898929459. The next prime is 238898929481. The reversal of 238898929464 is 464929898832.

238898929464 is a `hidden beast` number, since 2 + 3 + 8 + 89 + 89 + 2 + 9 + 464 = 666.

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 junction number, because it is equal to n+sod(n) for n = 238898929392 and 238898929401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127616014 + ... + 127617885.

Almost surely, 2238898929464 is an apocalyptic number.

238898929464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238898929464 is an abundant number, since it is smaller than the sum of its proper divisors (457889617536).

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

238898929464 is a wasteful number, since it uses less digits than its factorization.

238898929464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255233924 (or 255233917 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 238898929464 in words is "two hundred thirty-eight billion, eight hundred ninety-eight million, nine hundred twenty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 255233899 510467798 765701697 1020935596 1531403394 2041871192 2297105091 3062806788 3318040687 4594210182 6125613576 6636081374 9188420364 9954122061 13272162748 18376840728 19908244122 26544325496 29862366183 39816488244 59724732366 79632976488 119449464732 238898929464