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499832790912 = 273271331115331
BaseRepresentation
bin1110100011000000101…
…10110001111110000000
31202210011012120121111100
413101200112301332000
531142124143302122
61021341531214400
751053215423320
oct7214026617600
91683135517440
10499832790912
11182a83641874
1280a54ba7400
1338198604ba0
141a298d39280
15d006104aac
hex74605b1f80

499832790912 has 384 divisors, whose sum is σ = 1776049067520. Its totient is φ = 131391590400.

The previous prime is 499832790911. The next prime is 499832790917. The reversal of 499832790912 is 219097238994.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 499832790912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499832790911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32595087 + ... + 32610417.

It is an arithmetic number, because the mean of its divisors is an integer number (4625127780).

Almost surely, 2499832790912 is an apocalyptic number.

499832790912 is a gapful number since it is divisible by the number (42) 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 499832790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888024533760).

499832790912 is an abundant number, since it is smaller than the sum of its proper divisors (1276216276608).

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

499832790912 is a wasteful number, since it uses less digits than its factorization.

499832790912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15682 (or 15667 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 499832790912 in words is "four hundred ninety-nine billion, eight hundred thirty-two million, seven hundred ninety thousand, nine hundred twelve".