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990675836928 = 21335497663
BaseRepresentation
bin11100110101010001110…
…00011010000000000000
310111201002220100212100000
432122220320122000000
5112212401003240203
62035035445200000
7131400604450101
oct16325070320000
93451086325300
10990675836928
113521637571a8
1213bbbb400000
137256060a49b
1435d3dd6c3a8
151ab82da64a3
hexe6a8e1a000

990675836928 has 168 divisors, whose sum is σ = 2967775469568. Its totient is φ = 330224615424.

The previous prime is 990675836881. The next prime is 990675836933. The reversal of 990675836928 is 829638576099.

It is a Cunningham number, because it is equal to 9953272-1.

It is a super-2 number, since 2×9906758369282 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1741825 + ... + 2239487.

It is an arithmetic number, because the mean of its divisors is an integer number (17665330176).

Almost surely, 2990675836928 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 990675836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483887734784).

990675836928 is an abundant number, since it is smaller than the sum of its proper divisors (1977099632640).

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

990675836928 is an frugal number, since it uses more digits than its factorization.

990675836928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497704 (or 497668 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 990675836928 in words is "nine hundred ninety billion, six hundred seventy-five million, eight hundred thirty-six thousand, nine hundred twenty-eight".