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86987750720 = 2651320910517
BaseRepresentation
bin101000100000011011…
…1111011110101000000
322022112022210120221012
41101000313323311000
52411122331010340
6103543413220052
76166431452453
oct1210067736500
9268468716835
1086987750720
1133989354682
1214a38031628
138283a3c460
1442d2c2749a
1523e1bb8565
hex1440dfbd40

86987750720 has 56 divisors (see below), whose sum is σ = 223073406024. Its totient is φ = 32118552576.

The previous prime is 86987750701. The next prime is 86987750753. The reversal of 86987750720 is 2705778968.

It can be written as a sum of positive squares in 4 ways, for example, as 14557870336 + 72429880384 = 120656^2 + 269128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86987750720.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10451099 + ... + 10459418.

It is an arithmetic number, because the mean of its divisors is an integer number (3983453679).

Almost surely, 286987750720 is an apocalyptic number.

86987750720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86987750720 is an abundant number, since it is smaller than the sum of its proper divisors (136085655304).

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

86987750720 is a wasteful number, since it uses less digits than its factorization.

86987750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20910547 (or 20910537 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 59.

The spelling of 86987750720 in words is "eighty-six billion, nine hundred eighty-seven million, seven hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 20910517 41821034 83642068 104552585 167284136 209105170 271836721 334568272 418210340 543673442 669136544 836420680 1087346884 1338273088 1359183605 1672841360 2174693768 2718367210 3345682720 4349387536 5436734420 6691365440 8698775072 10873468840 17397550144 21746937680 43493875360 86987750720