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57323411432375 = 53111710722919051
BaseRepresentation
bin11010000100010101001011…
…00100110110001110110111
321111222001202002210020222012
431002022211210312032313
530003141321311314000
6321530002304154435
715034323400461614
oct1502124544661667
9244861662706865
1057323411432375
11172a07a4376350
1265197b2608a1b
1325ca76125146a
141022679d6d50b
156961a7eed735
hex3422a59363b7

57323411432375 has 64 divisors (see below), whose sum is σ = 83406280628736. Its totient is φ = 38870708800000.

The previous prime is 57323411432299. The next prime is 57323411432377.

It is a happy number.

57323411432375 is nontrivially palindromic in base 10.

57323411432375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57323411432375 - 212 = 57323411428279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57323411432377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8958401 + ... + 13960650.

It is an arithmetic number, because the mean of its divisors is an integer number (1303223134824).

Almost surely, 257323411432375 is an apocalyptic number.

57323411432375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57323411432375 is a deficient number, since it is larger than the sum of its proper divisors (26082869196361).

57323411432375 is a wasteful number, since it uses less digits than its factorization.

57323411432375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22919201 (or 22919191 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 50.

The spelling of 57323411432375 in words is "fifty-seven trillion, three hundred twenty-three billion, four hundred eleven million, four hundred thirty-two thousand, three hundred seventy-five".

Divisors: 1 5 11 17 25 55 85 107 125 187 275 425 535 935 1177 1375 1819 2125 2675 4675 5885 9095 13375 20009 23375 29425 45475 100045 147125 227375 500225 2501125 22919051 114595255 252109561 389623867 572976275 1260547805 1948119335 2452338457 2864881375 4285862537 6302739025 9740596675 12261692285 21429312685 26975723027 31513695125 41689753769 48702983375 61308461425 107146563425 134878615135 208448768845 306542307125 458587291459 535732817125 674393075675 1042243844225 2292936457295 3371965378375 5211219221125 11464682286475 57323411432375