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90425003616 = 2533268938921
BaseRepresentation
bin101010000110111000…
…0000000111001100000
322122101212121010111000
41110031300000321200
52440142300103431
6105312441352000
76350546564103
oct1241560007140
9278355533430
1090425003616
1135392614652
1215637198600
1386b0ba95cc
14453b53073a
15254382d9e6
hex150dc00e60

90425003616 has 96 divisors (see below), whose sum is σ = 263844453600. Its totient is φ = 30129684480.

The previous prime is 90425003611. The next prime is 90425003633. The reversal of 90425003616 is 61630052409.

It is a happy number.

90425003616 is a `hidden beast` number, since 90 + 4 + 2 + 500 + 3 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×904250036162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90425003611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2303836 + ... + 2342756.

It is an arithmetic number, because the mean of its divisors is an integer number (2748379725).

Almost surely, 290425003616 is an apocalyptic number.

90425003616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90425003616 is an abundant number, since it is smaller than the sum of its proper divisors (173419449984).

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

90425003616 is a wasteful number, since it uses less digits than its factorization.

90425003616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41629 (or 41615 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 90425003616 in words is "ninety billion, four hundred twenty-five million, three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2689 5378 8067 10756 16134 21512 24201 32268 38921 43024 48402 64536 72603 77842 86048 96804 116763 129072 145206 155684 193608 233526 258144 290412 311368 350289 387216 467052 580824 622736 700578 774432 934104 1050867 1161648 1245472 1401156 1868208 2101734 2323296 2802312 3736416 4203468 5604624 8406936 11209248 16813872 33627744 104658569 209317138 313975707 418634276 627951414 837268552 941927121 1255902828 1674537104 1883854242 2511805656 2825781363 3349074208 3767708484 5023611312 5651562726 7535416968 10047222624 11303125452 15070833936 22606250904 30141667872 45212501808 90425003616