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87931863257 = 7191338149409
BaseRepresentation
bin101000111100100100…
…1011100000011011001
322101222010022110212012
41101321021130003121
52420041024111012
6104221220555305
76232014335240
oct1217111340331
9271863273765
1087931863257
1134323276377
1215060252b35
1383a450c524
144382387957
152449a0a622
hex147925c0d9

87931863257 has 16 divisors (see below), whose sum is σ = 105792739200. Its totient is φ = 71396536320.

The previous prime is 87931863251. The next prime is 87931863263. The reversal of 87931863257 is 75236813978.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87931863251) and next prime (87931863263).

It is a cyclic number.

It is not a de Polignac number, because 87931863257 - 24 = 87931863241 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87931863196 and 87931863205.

It is not an unprimeable number, because it can be changed into a prime (87931863251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754969 + ... + 1804377.

It is an arithmetic number, because the mean of its divisors is an integer number (6612046200).

Almost surely, 287931863257 is an apocalyptic number.

It is an amenable number.

87931863257 is a deficient number, since it is larger than the sum of its proper divisors (17860875943).

87931863257 is a wasteful number, since it uses less digits than its factorization.

87931863257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62816.

The product of its digits is 15240960, while the sum is 59.

The spelling of 87931863257 in words is "eighty-seven billion, nine hundred thirty-one million, eight hundred sixty-three thousand, two hundred fifty-seven".

Divisors: 1 7 19 133 13381 49409 93667 254239 345863 938771 1779673 6571397 661141829 4627992803 12561694751 87931863257