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499319631360 = 29335115312391
BaseRepresentation
bin1110100010000011100…
…01001110111000000000
31202201211102222101221000
413101001301032320000
531140101311200420
61021215000332000
751034414560324
oct7210161167000
91681742871830
10499319631360
1118283aa07470
1280931174000
13381161c3094
141a24ab19984
15cec603c690
hex7441c4ee00

499319631360 has 640 divisors, whose sum is σ = 1971529528320. Its totient is φ = 118753689600.

The previous prime is 499319631353. The next prime is 499319631403. The reversal of 499319631360 is 63136913994.

499319631360 is a `hidden beast` number, since 4 + 9 + 9 + 319 + 6 + 313 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4993196313602 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 499319631297 and 499319631306.

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, 40290765 + ... + 40303155.

It is an arithmetic number, because the mean of its divisors is an integer number (3080514888).

Almost surely, 2499319631360 is an apocalyptic number.

499319631360 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 499319631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985764764160).

499319631360 is an abundant number, since it is smaller than the sum of its proper divisors (1472209896960).

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

499319631360 is a wasteful number, since it uses less digits than its factorization.

499319631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12465 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 499319631360 in words is "four hundred ninety-nine billion, three hundred nineteen million, six hundred thirty-one thousand, three hundred sixty".