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90879798912 = 2737251134699
BaseRepresentation
bin101010010100011011…
…0111010111010000000
322200120120101010100020
41110220312322322000
52442110212031122
6105425525253440
76365041354650
oct1245066727200
9280516333306
1090879798912
11355a6306031
1215743564280
138754194b56
144581aba360
15256d717c5c
hex1528dbae80

90879798912 has 128 divisors (see below), whose sum is σ = 276986304000. Its totient is φ = 25862016000.

The previous prime is 90879798883. The next prime is 90879798929. The reversal of 90879798912 is 21989797809.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607339 + ... + 742037.

It is an arithmetic number, because the mean of its divisors is an integer number (2163955500).

Almost surely, 290879798912 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 90879798912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138493152000).

90879798912 is an abundant number, since it is smaller than the sum of its proper divisors (186106505088).

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

90879798912 is a wasteful number, since it uses less digits than its factorization.

90879798912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134974 (or 134962 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 69.

The spelling of 90879798912 in words is "ninety billion, eight hundred seventy-nine million, seven hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 251 336 384 448 502 672 753 896 1004 1344 1506 1757 2008 2688 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 16064 21084 24096 28112 32128 42168 48192 56224 84336 96384 112448 134699 168672 224896 269398 337344 404097 538796 674688 808194 942893 1077592 1616388 1885786 2155184 2828679 3232776 3771572 4310368 5657358 6465552 7543144 8620736 11314716 12931104 15086288 17241472 22629432 25862208 30172576 33809449 45258864 51724416 60345152 67618898 90517728 101428347 120690304 135237796 181035456 202856694 236666143 270475592 362070912 405713388 473332286 540951184 709998429 811426776 946664572 1081902368 1419996858 1622853552 1893329144 2163804736 2839993716 3245707104 3786658288 4327609472 5679987432 6491414208 7573316576 11359974864 12982828416 15146633152 22719949728 30293266304 45439899456 90879798912