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90464762091220 = 225114385311210869
BaseRepresentation
bin10100100100011011111000…
…000000100101011011010100
3102212022100100210221202021021
4110210123320000211123110
543324133313043404340
6520222534334130524
725024602065205346
oct2444337000453324
9385270323852237
1090464762091220
11269089878751a0
12a190815950a44
133b62a378467ba
14184a736d8b296
15a6d2e1ad7e4a
hex5246f80256d4

90464762091220 has 96 divisors (see below), whose sum is σ = 212314864164480. Its totient is φ = 32093576040960.

The previous prime is 90464762091157. The next prime is 90464762091293. The reversal of 90464762091220 is 2219026746409.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2463946 + ... + 13674814.

It is an arithmetic number, because the mean of its divisors is an integer number (2211613168380).

Almost surely, 290464762091220 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 90464762091220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106157432082240).

90464762091220 is an abundant number, since it is smaller than the sum of its proper divisors (121850102073260).

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

90464762091220 is a wasteful number, since it uses less digits than its factorization.

90464762091220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11211785 (or 11211783 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 90464762091220 in words is "ninety trillion, four hundred sixty-four billion, seven hundred sixty-two million, ninety-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 853 860 946 1706 1892 2365 3412 4265 4730 8530 9383 9460 17060 18766 36679 37532 46915 73358 93830 146716 183395 187660 366790 403469 733580 806938 1613876 2017345 4034690 8069380 11210869 22421738 44843476 56054345 112108690 123319559 224217380 246639118 482067367 493278236 616597795 964134734 1233195590 1928269468 2410336835 2466391180 4820673670 5302741037 9562871257 9641347340 10605482074 19125742514 21210964148 26513705185 38251485028 47814356285 53027410370 95628712570 105191583827 106054820740 191257425140 210383167654 411203464051 420766335308 525957919135 822406928102 1051915838270 1644813856204 2056017320255 2103831676540 4112034640510 4523238104561 8224069281020 9046476209122 18092952418244 22616190522805 45232381045610 90464762091220