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90634231168 = 2713241226007
BaseRepresentation
bin101010001101000111…
…0001001110110000000
322122221110021222201121
41110122032021312000
52441104330344133
6105345314042024
76356000153005
oct1243216116600
9278843258647
1090634231168
113548a72a388
1215695279314
1387153449b0
14455b2358ac
152556dac02d
hex151a389d80

90634231168 has 64 divisors (see below), whose sum is σ = 195257351520. Its totient is φ = 41657425920.

The previous prime is 90634231139. The next prime is 90634231169. The reversal of 90634231168 is 86113243609.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90634231169) 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, 288021 + ... + 514027.

Almost surely, 290634231168 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 90634231168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97628675760).

90634231168 is an abundant number, since it is smaller than the sum of its proper divisors (104623120352).

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

90634231168 is a wasteful number, since it uses less digits than its factorization.

90634231168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226275 (or 226263 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 90634231168 in words is "ninety billion, six hundred thirty-four million, two hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 241 416 482 832 964 1664 1928 3133 3856 6266 7712 12532 15424 25064 30848 50128 100256 200512 226007 401024 452014 904028 1808056 2938091 3616112 5876182 7232224 11752364 14464448 23504728 28928896 47009456 54467687 94018912 108935374 188037824 217870748 376075648 435741496 708079931 871482992 1416159862 1742965984 2832319724 3485931968 5664639448 6971863936 11329278896 22658557792 45317115584 90634231168