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238728860953401 = 37131705351279229
BaseRepresentation
bin110110010001111101100100…
…111101000110101100111001
31011022021020220210011221211210
4312101331210331012230321
5222242313201401002101
62203422305200313333
7101166406502635140
oct6621754475065471
91138236823157753
10238728860953401
116a0803833a5735
1222937304612849
13a32905bb51a20
1442d47779b8757
151c8ed439b47d6
hexd91f64f46b39

238728860953401 has 32 divisors (see below), whose sum is σ = 391783162812160. Its totient is φ = 125915529003264.

The previous prime is 238728860953397. The next prime is 238728860953433. The reversal of 238728860953401 is 104359068827832.

It is not a de Polignac number, because 238728860953401 - 22 = 238728860953397 is a prime.

It is a super-2 number, since 2×2387288609534012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (238728860953201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20984146 + ... + 30295083.

It is an arithmetic number, because the mean of its divisors is an integer number (12243223837880).

It is a 1-persistent number, because it is pandigital, but 2⋅238728860953401 = 477457721906802 is not.

Almost surely, 2238728860953401 is an apocalyptic number.

238728860953401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

238728860953401 is a deficient number, since it is larger than the sum of its proper divisors (153054301858759).

238728860953401 is a wasteful number, since it uses less digits than its factorization.

238728860953401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51296305.

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 238728860953401 in words is "two hundred thirty-eight trillion, seven hundred twenty-eight billion, eight hundred sixty million, nine hundred fifty-three thousand, four hundred one".

Divisors: 1 3 7 13 21 39 91 273 17053 51159 119371 221689 358113 665067 1551823 4655469 51279229 153837687 358954603 666629977 1076863809 1999889931 4666409839 13999229517 874464692137 2623394076411 6121252844959 11368040997781 18363758534877 34104122993343 79576286984467 238728860953401