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86025466000 = 245353811561
BaseRepresentation
bin101000000011110000…
…1000111000010010000
322020001021002110110101
41100013201013002100
52402140004403000
6103304120142144
76133535252605
oct1200741070220
9266037073411
1086025466000
1133535150951
1214809907954
13815c578c06
1442410d66ac
152387486e6a
hex1407847090

86025466000 has 80 divisors (see below), whose sum is σ = 211934546928. Its totient is φ = 33760896000.

The previous prime is 86025465949. The next prime is 86025466039. The reversal of 86025466000 is 66452068.

It can be written as a sum of positive squares in 8 ways, for example, as 16658548624 + 69366917376 = 129068^2 + 263376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299781 + ... + 511780.

Almost surely, 286025466000 is an apocalyptic number.

86025466000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86025466000 is an abundant number, since it is smaller than the sum of its proper divisors (125909080928).

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

86025466000 is a wasteful number, since it uses less digits than its factorization.

86025466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811637 (or 811621 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 86025466000 in words is "eighty-six billion, twenty-five million, four hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 21200 26500 53000 106000 811561 1623122 3246244 4057805 6492488 8115610 12984976 16231220 20289025 32462440 40578050 43012733 64924880 81156100 86025466 101445125 162312200 172050932 202890250 215063665 324624400 344101864 405780500 430127330 688203728 811561000 860254660 1075318325 1623122000 1720509320 2150636650 3441018640 4301273300 5376591625 8602546600 10753183250 17205093200 21506366500 43012733000 86025466000