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90748267392 = 2731731144699
BaseRepresentation
bin101010010000100000…
…1001010101110000000
322200020101212122000110
41110201001022232000
52441323024024032
6105404510151320
76361553355066
oct1244101125600
9280211778013
1090748267392
11355390384a2
12157074b2540
138732b61253
14456c43c036
152561dd57cc
hex152104ab80

90748267392 has 128 divisors (see below), whose sum is σ = 256055904000. Its totient is φ = 28377866240.

The previous prime is 90748267391. The next prime is 90748267399. The reversal of 90748267392 is 29376284709.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90748267391) 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, 2007859 + ... + 2052557.

It is an arithmetic number, because the mean of its divisors is an integer number (2000436750).

Almost surely, 290748267392 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 90748267392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128027952000).

90748267392 is an abundant number, since it is smaller than the sum of its proper divisors (165307636608).

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

90748267392 is a wasteful number, since it uses less digits than its factorization.

90748267392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45044 (or 45032 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 90748267392 in words is "ninety billion, seven hundred forty-eight million, two hundred sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 311 384 408 544 622 816 933 1088 1244 1632 1866 2176 2488 3264 3732 4976 5287 6528 7464 9952 10574 14928 15861 19904 21148 29856 31722 39808 42296 44699 59712 63444 84592 89398 119424 126888 134097 169184 178796 253776 268194 338368 357592 507552 536388 676736 715184 759883 1015104 1072776 1430368 1519766 2030208 2145552 2279649 2860736 3039532 4291104 4559298 5721472 6079064 8582208 9118596 12158128 13901389 17164416 18237192 24316256 27802778 36474384 41704167 48632512 55605556 72948768 83408334 97265024 111211112 145897536 166816668 222422224 236323613 291795072 333633336 444844448 472647226 667266672 708970839 889688896 945294452 1334533344 1417941678 1779377792 1890588904 2669066688 2835883356 3781177808 5338133376 5671766712 7562355616 11343533424 15124711232 22687066848 30249422464 45374133696 90748267392