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86957000928 = 2533727092897
BaseRepresentation
bin101000011111100001…
…0101000100011100000
322022110011221100011000
41100333002220203200
52411041443012203
6103540354152000
76165606212100
oct1207702504340
9268404840130
1086957000928
1133972a61926
1214a29882600
13827a564105
1442ccb01200
1523de1424a3
hex143f0a88e0

86957000928 has 288 divisors, whose sum is σ = 295550791200. Its totient is φ = 24801251328.

The previous prime is 86957000909. The next prime is 86957000947. The reversal of 86957000928 is 82900075968.

It is a happy number.

86957000928 is a `hidden beast` number, since 8 + 69 + 570 + 0 + 0 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86957000909) and next prime (86957000947).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×869570009282 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30014776 + ... + 30017672.

It is an arithmetic number, because the mean of its divisors is an integer number (1026218025).

Almost surely, 286957000928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86957000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147775395600).

86957000928 is an abundant number, since it is smaller than the sum of its proper divisors (208593790272).

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

86957000928 is a wasteful number, since it uses less digits than its factorization.

86957000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 86957000928 in words is "eighty-six billion, nine hundred fifty-seven million, nine hundred twenty-eight", and thus it is an aban number.