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2990430555264 = 27341916790901
BaseRepresentation
bin101011100001000011100…
…011010000110010000000
3101120212211020200010010000
4223201003203100302000
5342443400210232024
610205441305040000
7426023441214225
oct53410343206200
911525736603100
102990430555264
11a532640a7269
12403695186000
13188cc50c1979
14a4a4800d94c
1552bc4582cc9
hex2b8438d0c80

2990430555264 has 320 divisors, whose sum is σ = 9424064865600. Its totient is φ = 938681395200.

The previous prime is 2990430555247. The next prime is 2990430555311. The reversal of 2990430555264 is 4625550340992.

2990430555264 is a `hidden beast` number, since 29 + 9 + 0 + 4 + 3 + 0 + 5 + 552 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2990430555264.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32852214 + ... + 32943114.

It is an arithmetic number, because the mean of its divisors is an integer number (29450202705).

Almost surely, 22990430555264 is an apocalyptic number.

2990430555264 is a gapful number since it is divisible by the number (24) 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 2990430555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712032432800).

2990430555264 is an abundant number, since it is smaller than the sum of its proper divisors (6433634310336).

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

2990430555264 is a wasteful number, since it uses less digits than its factorization.

2990430555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91113 (or 91092 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 2990430555264 in words is "two trillion, nine hundred ninety billion, four hundred thirty million, five hundred fifty-five thousand, two hundred sixty-four".