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90830534912 = 281389306661
BaseRepresentation
bin101010010010111101…
…0111111100100000000
322200110010200020211122
41110211322333210000
52442010104104122
6105421005331412
76363602544065
oct1244572774400
9280403606748
1090830534912
1135580518287
121572ab66b68
138746c06760
144579334c6c
152569236142
hex1525ebf900

90830534912 has 72 divisors (see below), whose sum is σ = 197447395320. Its totient is φ = 41450618880.

The previous prime is 90830534909. The next prime is 90830534917. The reversal of 90830534912 is 21943503809.

It can be written as a sum of positive squares in 4 ways, for example, as 3041536 + 90827493376 = 1744^2 + 301376^2 .

It is not an unprimeable number, because it can be changed into a prime (90830534917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142862 + ... + 449522.

It is an arithmetic number, because the mean of its divisors is an integer number (2742324935).

Almost surely, 290830534912 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 90830534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98723697660).

90830534912 is an abundant number, since it is smaller than the sum of its proper divisors (106616860408).

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

90830534912 is a wasteful number, since it uses less digits than its factorization.

90830534912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306779 (or 306765 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 90830534912 in words is "ninety billion, eight hundred thirty million, five hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 356 416 712 832 1157 1424 1664 2314 2848 3328 4628 5696 9256 11392 18512 22784 37024 74048 148096 296192 306661 613322 1226644 2453288 3986593 4906576 7973186 9813152 15946372 19626304 27292829 31892744 39252608 54585658 63785488 78505216 109171316 127570976 218342632 255141952 354806777 436685264 510283904 709613554 873370528 1020567808 1419227108 1746741056 2838454216 3493482112 5676908432 6986964224 11353816864 22707633728 45415267456 90830534912