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90793948407336 = 2332192335361713249
BaseRepresentation
bin10100101001001110011101…
…000010101110011000101000
3102220110211001101002020221100
4110221032131002232120220
543400032001243013321
6521034055235241400
725060434452551446
oct2451163502563050
9386424041066840
1090793948407336
1126a255519787a9
12a224585749260
133b87aa92a6035
14185c644449b96
15a76b5b744326
hex52939d0ae628

90793948407336 has 384 divisors, whose sum is σ = 271321034400000. Its totient is φ = 27301098553344.

The previous prime is 90793948407319. The next prime is 90793948407341. The reversal of 90793948407336 is 63370484939709.

90793948407336 is a `hidden beast` number, since 9 + 0 + 79 + 3 + 9 + 484 + 0 + 73 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6852884040 + ... + 6852897288.

It is an arithmetic number, because the mean of its divisors is an integer number (706565193750).

Almost surely, 290793948407336 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 90793948407336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135660517200000).

90793948407336 is an abundant number, since it is smaller than the sum of its proper divisors (180527085992664).

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

90793948407336 is a wasteful number, since it uses less digits than its factorization.

90793948407336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14273 (or 14266 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 90793948407336 in words is "ninety trillion, seven hundred ninety-three billion, nine hundred forty-eight million, four hundred seven thousand, three hundred thirty-six".