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499078637568 = 21133729173257
BaseRepresentation
bin1110100001100110110…
…01111010100000000000
31202201012122111122121000
413100303121322200000
531134103112400233
61021135031132000
751025430265450
oct7206331724000
91681178448530
10499078637568
11182726975245
1280884514000
13380a82b4ac4
141a226b05d60
15ceaecd6d13
hex743367a800

499078637568 has 768 divisors, whose sum is σ = 1764794304000. Its totient is φ = 136348434432.

The previous prime is 499078637557. The next prime is 499078637587. The reversal of 499078637568 is 865736870994.

499078637568 is a `hidden beast` number, since 49 + 90 + 78 + 6 + 375 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×4990786375682 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 499078637496 and 499078637505.

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, 1941940096 + ... + 1941940352.

It is an arithmetic number, because the mean of its divisors is an integer number (2297909250).

Almost surely, 2499078637568 is an apocalyptic number.

499078637568 is a gapful number since it is divisible by the number (48) 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 499078637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882397152000).

499078637568 is an abundant number, since it is smaller than the sum of its proper divisors (1265715666432).

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

499078637568 is a wasteful number, since it uses less digits than its factorization.

499078637568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 499078637568 in words is "four hundred ninety-nine billion, seventy-eight million, six hundred thirty-seven thousand, five hundred sixty-eight".