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990398704932 = 2233721319757693
BaseRepresentation
bin11100110100110000101…
…11001110110100100100
310111200101120220002201000
432122120113032310210
5112211314032024212
62034552145233300
7131361001043100
oct16323027166444
93450346802630
10990398704932
1135203128189a
1213bb42632830
1372518088360
1435d1522c900
151ab688b31dc
hexe6985ced24

990398704932 has 288 divisors, whose sum is σ = 3385982947200. Its totient is φ = 247456145664.

The previous prime is 990398704909. The next prime is 990398704969. The reversal of 990398704932 is 239407893099.

990398704932 is a `hidden beast` number, since 9 + 90 + 398 + 70 + 4 + 93 + 2 = 666.

990398704932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9903987049322 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 990398704932.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 928278 + ... + 1685970.

Almost surely, 2990398704932 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 990398704932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692991473600).

990398704932 is an abundant number, since it is smaller than the sum of its proper divisors (2395584242268).

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

990398704932 is a wasteful number, since it uses less digits than its factorization.

990398704932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757752 (or 757737 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 990398704932 in words is "nine hundred ninety billion, three hundred ninety-eight million, seven hundred four thousand, nine hundred thirty-two".