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90633969522 = 2337129380681
BaseRepresentation
bin101010001101000110…
…1001001111101110010
322122221102210200211000
41110122031021331302
52441104244011042
6105345304302430
76355665013125
oct1243215117562
9278842720730
1090633969522
113548a570848
1215695171a16
138715282885
14455b1a83bc
152556d5974c
hex151a349f72

90633969522 has 64 divisors (see below), whose sum is σ = 204945189120. Its totient is φ = 29683785600.

The previous prime is 90633969449. The next prime is 90633969527. The reversal of 90633969522 is 22596933609.

90633969522 is a `hidden beast` number, since 90 + 63 + 396 + 95 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90633969527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083022 + ... + 1163702.

It is an arithmetic number, because the mean of its divisors is an integer number (3202268580).

Almost surely, 290633969522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90633969522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102472594560).

90633969522 is an abundant number, since it is smaller than the sum of its proper divisors (114311219598).

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

90633969522 is a wasteful number, since it uses less digits than its factorization.

90633969522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81056 (or 81050 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 90633969522 in words is "ninety billion, six hundred thirty-three million, nine hundred sixty-nine thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 293 426 586 639 879 1278 1758 1917 2637 3834 5274 7911 15822 20803 41606 62409 80681 124818 161362 187227 242043 374454 484086 561681 726129 1123362 1452258 2178387 4356774 5728351 11456702 17185053 23639533 34370106 47279066 51555159 70918599 103110318 141837198 154665477 212755797 309330954 425511594 638267391 1276534782 1678406843 3356813686 5035220529 10070441058 15105661587 30211323174 45316984761 90633969522