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990698092800 = 283521317298397
BaseRepresentation
bin11100110101010100011…
…01010011100100000000
310111201011110020120122120
432122222031103210000
5112212422202432200
62035042002204240
7131401264563033
oct16325215234400
93451143216576
10990698092800
11352175278389
12140006953680
1372565100640
1435d42cc301a
151ab84d009a0
hexe6aa353900

990698092800 has 1728 divisors, whose sum is σ = 3943390106880. Its totient is φ = 216677744640.

The previous prime is 990698092781. The next prime is 990698092807. The reversal of 990698092800 is 8290896099.

It is a super-2 number, since 2×9906980928002 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is not an unprimeable number, because it can be changed into a prime (990698092807) 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 191 ways as a sum of consecutive naturals, for example, 10213382352 + ... + 10213382448.

It is an arithmetic number, because the mean of its divisors is an integer number (2282054460).

Almost surely, 2990698092800 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 990698092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971695053440).

990698092800 is an abundant number, since it is smaller than the sum of its proper divisors (2952692014080).

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

990698092800 is a wasteful number, since it uses less digits than its factorization.

990698092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 60.

The spelling of 990698092800 in words is "nine hundred ninety billion, six hundred ninety-eight million, ninety-two thousand, eight hundred".