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490863070656 = 26337414212351
BaseRepresentation
bin1110010010010011011…
…10000000110111000000
31201221000002110121111000
413021021232000313000
531020241421230111
61013255511052000
750315021154360
oct7111156006700
91657002417430
10490863070656
1117a1a0452222
127b171071000
13373991c6cca
1419a879669a0
15cb7d909c56
hex7249b80dc0

490863070656 has 448 divisors, whose sum is σ = 1694153502720. Its totient is φ = 136442880000.

The previous prime is 490863070601. The next prime is 490863070661. The reversal of 490863070656 is 656070368094.

490863070656 is a `hidden beast` number, since 490 + 8 + 6 + 30 + 70 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208787881 + ... + 208790231.

It is an arithmetic number, because the mean of its divisors is an integer number (3781592640).

Almost surely, 2490863070656 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 490863070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847076751360).

490863070656 is an abundant number, since it is smaller than the sum of its proper divisors (1203290432064).

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

490863070656 is a wasteful number, since it uses less digits than its factorization.

490863070656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 490863070656 in words is "four hundred ninety billion, eight hundred sixty-three million, seventy thousand, six hundred fifty-six".