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2298679990272 = 21134173672221
BaseRepresentation
bin100001011100110100000…
…000010001100000000000
322010202021221221102210000
4201130310000101200000
5300130144034142042
64515555441440000
7325034301350511
oct41346400214000
98122257842700
102298679990272
11806956a23256
123115bb340000
131389c2a70323
147d384582a08
153ebd984774c
hex21734011800

2298679990272 has 480 divisors, whose sum is σ = 7292957031360. Its totient is φ = 718865694720.

The previous prime is 2298679990267. The next prime is 2298679990283. The reversal of 2298679990272 is 2720999768922.

2298679990272 is a `hidden beast` number, since 2 + 298 + 67 + 9 + 9 + 9 + 0 + 272 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2298679990272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1034974122 + ... + 1034976342.

It is an arithmetic number, because the mean of its divisors is an integer number (15193660482).

Almost surely, 22298679990272 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 2298679990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646478515680).

2298679990272 is an abundant number, since it is smaller than the sum of its proper divisors (4994277041088).

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

2298679990272 is a wasteful number, since it uses less digits than its factorization.

2298679990272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 2298679990272 in words is "two trillion, two hundred ninety-eight billion, six hundred seventy-nine million, nine hundred ninety thousand, two hundred seventy-two".