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290112437472 = 253111321132899
BaseRepresentation
bin1000011100011000000…
…11000111110011100000
31000201211102201210211120
410032030003013303200
514223122240444342
6341135324212240
726650154013414
oct4161403076340
91021742653746
10290112437472
111020439a9220
124828609a080
132148551b0b0
1410081ccad44
15782e610aec
hex438c0c7ce0

290112437472 has 96 divisors (see below), whose sum is σ = 894682454400. Its totient is φ = 81150328320.

The previous prime is 290112437423. The next prime is 290112437477. The reversal of 290112437472 is 274734211092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290112437477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10552722 + ... + 10580177.

It is an arithmetic number, because the mean of its divisors is an integer number (9319608900).

Almost surely, 2290112437472 is an apocalyptic number.

290112437472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

290112437472 is an abundant number, since it is smaller than the sum of its proper divisors (604570016928).

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

290112437472 is a wasteful number, since it uses less digits than its factorization.

290112437472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21132936 (or 21132928 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 290112437472 in words is "two hundred ninety billion, one hundred twelve million, four hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 21132899 42265798 63398697 84531596 126797394 169063192 232461889 253594788 274727687 338126384 464923778 507189576 549455374 676252768 697385667 824183061 929847556 1014379152 1098910748 1394771334 1648366122 1859695112 2028758304 2197821496 2789542668 3022004557 3296732244 3719390224 4395642992 5579085336 6044009114 6593464488 7438780448 8791285984 9066013671 11158170672 12088018228 13186928976 18132027342 22316341344 24176036456 26373857952 36264054684 48352072912 72528109368 96704145824 145056218736 290112437472