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490146325056 = 263217314139383
BaseRepresentation
bin1110010000111101111…
…11110110001001000000
31201212011010210011100200
413020132333312021000
531012304424400211
61013100424445200
750261166010143
oct7103677661100
91655133704320
10490146325056
11179962905693
127abb1019800
13372b387389b
1419a1a6b005a
15cb3aa2ab56
hex721eff6240

490146325056 has 336 divisors, whose sum is σ = 1573036028928. Its totient is φ = 145177804800.

The previous prime is 490146325043. The next prime is 490146325063. The reversal of 490146325056 is 650523641094.

490146325056 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 4 + 632 + 5 + 0 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12425941 + ... + 12465323.

It is an arithmetic number, because the mean of its divisors is an integer number (4681654848).

Almost surely, 2490146325056 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 490146325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786518014464).

490146325056 is an abundant number, since it is smaller than the sum of its proper divisors (1082889703872).

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

490146325056 is a wasteful number, since it uses less digits than its factorization.

490146325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39490 (or 39477 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 490146325056 in words is "four hundred ninety billion, one hundred forty-six million, three hundred twenty-five thousand, fifty-six".