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90312320032 = 2511311824981
BaseRepresentation
bin101010000011100001…
…0001010010000100000
322122010000120012122221
41110013002022100200
52434424423220112
6105253334240424
76345011024404
oct1240702122040
9278100505587
1090312320032
1135334a4a820
12156054b6114
13869374492c
14452a59b104
1525389c0e07
hex150708a420

90312320032 has 48 divisors (see below), whose sum is σ = 194590154304. Its totient is φ = 40919008000.

The previous prime is 90312319949. The next prime is 90312320039. The reversal of 90312320032 is 23002321309.

It is a junction number, because it is equal to n+sod(n) for n = 90312319979 and 90312320006.

It is not an unprimeable number, because it can be changed into a prime (90312320039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303019 + ... + 521962.

It is an arithmetic number, because the mean of its divisors is an integer number (4053961548).

Almost surely, 290312320032 is an apocalyptic number.

It is an amenable number.

90312320032 is an abundant number, since it is smaller than the sum of its proper divisors (104277834272).

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

90312320032 is a wasteful number, since it uses less digits than its factorization.

90312320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825313 (or 825305 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 90312320032 in words is "ninety billion, three hundred twelve million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 311 352 622 1244 2488 3421 4976 6842 9952 13684 27368 54736 109472 824981 1649962 3299924 6599848 9074791 13199696 18149582 26399392 36299164 72598328 145196656 256569091 290393312 513138182 1026276364 2052552728 2822260001 4105105456 5644520002 8210210912 11289040004 22578080008 45156160016 90312320032