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990499974912 = 283675971181
BaseRepresentation
bin11100110100111100110…
…01100010111100000000
310111200122122110011000000
432122132121202330000
5112212020443144122
62035010204000000
7131363340604620
oct16323631427400
93450578404000
10990499974912
11352083460498
1213bb70530000
1372533054c16
1435d24870880
151ab727190ac
hexe69e662f00

990499974912 has 1008 divisors, whose sum is σ = 3513064988160. Its totient is φ = 272769638400.

The previous prime is 990499974901. The next prime is 990499974917. The reversal of 990499974912 is 219479994099.

990499974912 is a `hidden beast` number, since 9 + 9 + 0 + 49 + 9 + 97 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990499974917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5472375462 + ... + 5472375642.

It is an arithmetic number, because the mean of its divisors is an integer number (3485183520).

Almost surely, 2990499974912 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 990499974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756532494080).

990499974912 is an abundant number, since it is smaller than the sum of its proper divisors (2522565013248).

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

990499974912 is an equidigital number, since it uses as much as digits as its factorization.

990499974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 72.

The spelling of 990499974912 in words is "nine hundred ninety billion, four hundred ninety-nine million, nine hundred seventy-four thousand, nine hundred twelve".