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90852793088 = 281959931183
BaseRepresentation
bin101010010011100111…
…1111001101100000000
322200111200120002022112
41110213033321230000
52442031303334323
6105423122354452
76364262666531
oct1244717715400
9280450502275
1090852793088
1135592040172
12157364bba28
13874b6ca985
14457c28a688
15256b181178
hex15273f9b00

90852793088 has 72 divisors (see below), whose sum is σ = 191220288000. Its totient is φ = 42962310144.

The previous prime is 90852793049. The next prime is 90852793093. The reversal of 90852793088 is 88039725809.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2897945 + ... + 2929127.

Almost surely, 290852793088 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 90852793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95610144000).

90852793088 is an abundant number, since it is smaller than the sum of its proper divisors (100367494912).

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

90852793088 is a wasteful number, since it uses less digits than its factorization.

90852793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31817 (or 31803 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 90852793088 in words is "ninety billion, eight hundred fifty-two million, seven hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 599 608 1198 1216 2396 2432 4792 4864 9584 11381 19168 22762 31183 38336 45524 62366 76672 91048 124732 153344 182096 249464 364192 498928 592477 728384 997856 1184954 1456768 1995712 2369908 2913536 3991424 4739816 7982848 9479632 18678617 18959264 37357234 37918528 74714468 75837056 149428936 151674112 298857872 354893723 597715744 709787446 1195431488 1419574892 2390862976 2839149784 4781725952 5678299568 11356599136 22713198272 45426396544 90852793088