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90012473868 = 223173731213821
BaseRepresentation
bin101001111010100101…
…0010101101000001100
322121100010100110001110
41103311022111220030
52433321143130433
6105203503412020
76334410255342
oct1236512255014
9277303313043
1090012473868
11351a0770979
1215540bb4010
13864659bb75
1444dc827992
15251c4e2963
hex14f5295a0c

90012473868 has 96 divisors (see below), whose sum is σ = 228527103168. Its totient is φ = 27459993600.

The previous prime is 90012473833. The next prime is 90012473897. The reversal of 90012473868 is 86837421009.

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 31 ways as a sum of consecutive naturals, for example, 23555398 + ... + 23559218.

It is an arithmetic number, because the mean of its divisors is an integer number (2380490658).

Almost surely, 290012473868 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 90012473868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114263551584).

90012473868 is an abundant number, since it is smaller than the sum of its proper divisors (138514629300).

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

90012473868 is a wasteful number, since it uses less digits than its factorization.

90012473868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 90012473868 in words is "ninety billion, twelve million, four hundred seventy-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3121 3774 3821 6242 7548 7642 9363 11463 12484 15284 18726 22926 37452 45852 53057 64957 106114 115477 129914 141377 159171 194871 212228 230954 259828 282754 318342 346431 389742 424131 461908 565508 636684 692862 779484 848262 1385724 1696524 1963109 2403409 3926218 4806818 5889327 7210227 7852436 9613636 11778654 11925341 14420454 23557308 23850682 28840908 35776023 47701364 71552046 143104092 202730797 405461594 441237617 608192391 810923188 882475234 1216384782 1323712851 1764950468 2432769564 2647425702 5294851404 7501039489 15002078978 22503118467 30004157956 45006236934 90012473868