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494255312640 = 2835517211443
BaseRepresentation
bin1110011000100111110…
…10011000111100000000
31202020202111120100200000
413030103322120330000
531044213330001030
61015020250400000
750465051560605
oct7142372307400
91666674510600
10494255312640
111806812698a1
127b959130000
13377b9c3489b
1419cca2b46ac
15cccb62d860
hex7313e98f00

494255312640 has 864 divisors, whose sum is σ = 1890883927296. Its totient is φ = 123181793280.

The previous prime is 494255312587. The next prime is 494255312687. The reversal of 494255312640 is 46213552494.

494255312640 is a `hidden beast` number, since 4 + 9 + 42 + 553 + 12 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1115700259 + ... + 1115700701.

It is an arithmetic number, because the mean of its divisors is an integer number (2188523064).

Almost surely, 2494255312640 is an apocalyptic number.

494255312640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494255312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945441963648).

494255312640 is an abundant number, since it is smaller than the sum of its proper divisors (1396628614656).

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

494255312640 is a wasteful number, since it uses less digits than its factorization.

494255312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 494255312640 in words is "four hundred ninety-four billion, two hundred fifty-five million, three hundred twelve thousand, six hundred forty".