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90232233984 = 213332317737
BaseRepresentation
bin101010000001001000…
…0101010000000000000
322121220102212102021000
41110002100222000000
52434243422441414
6105241353532000
76343016222364
oct1240220520000
9277812772230
1090232233984
11352a381aa02
12155a2714000
13867cc84339
14451dab12a4
152531951b09
hex150242a000

90232233984 has 224 divisors, whose sum is σ = 278977587840. Its totient is φ = 28768075776.

The previous prime is 90232233977. The next prime is 90232233989. The reversal of 90232233984 is 48933223209.

90232233984 is a `hidden beast` number, since 9 + 0 + 232 + 2 + 339 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (90232233989) 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, 5078364 + ... + 5096100.

It is an arithmetic number, because the mean of its divisors is an integer number (1245435660).

Almost surely, 290232233984 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 90232233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139488793920).

90232233984 is an abundant number, since it is smaller than the sum of its proper divisors (188745353856).

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

90232233984 is a wasteful number, since it uses less digits than its factorization.

90232233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17795 (or 17765 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 90232233984 in words is "ninety billion, two hundred thirty-two million, two hundred thirty-three thousand, nine hundred eighty-four".