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494296906464 = 2535195236397
BaseRepresentation
bin1110011000101100110…
…01000011101011100000
31202020212101211112200000
413030112121003223200
531044310002001324
61015024334100000
750466065244444
oct7142631035340
91666771745600
10494296906464
111806a2798959
127b96b04a600
13377c5738a0a
1419cd1a20824
15ccd00e79c9
hex7316643ae0

494296906464 has 288 divisors, whose sum is σ = 1537614449280. Its totient is φ = 155770947072.

The previous prime is 494296906459. The next prime is 494296906507. The reversal of 494296906464 is 464609692494.

494296906464 is a `hidden beast` number, since 4 + 9 + 429 + 6 + 90 + 64 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 77266914 + ... + 77273310.

It is an arithmetic number, because the mean of its divisors is an integer number (5338939060).

Almost surely, 2494296906464 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 494296906464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768807224640).

494296906464 is an abundant number, since it is smaller than the sum of its proper divisors (1043317542816).

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

494296906464 is a wasteful number, since it uses less digits than its factorization.

494296906464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 494296906464 in words is "four hundred ninety-four billion, two hundred ninety-six million, nine hundred six thousand, four hundred sixty-four".