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2245397892192 = 25367136715787
BaseRepresentation
bin100000101011001100001…
…001001100110001100000
321221122202122021102000000
4200223030021030301200
5243242033330022232
64435304353300000
7321140024112630
oct40531411146140
97848678242000
102245397892192
117962a4633354
1230320b264600
13133981048740
147a96bdb66c0
153d61bc8927c
hex20acc24cc60

2245397892192 has 672 divisors, whose sum is σ = 8279703113472. Its totient is φ = 583317199872.

The previous prime is 2245397892121. The next prime is 2245397892193. The reversal of 2245397892192 is 2912987935422.

2245397892192 is a `hidden beast` number, since 2 + 2 + 4 + 539 + 7 + 8 + 9 + 2 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245397892193) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 142222923 + ... + 142238709.

It is an arithmetic number, because the mean of its divisors is an integer number (12320986776).

Almost surely, 22245397892192 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 2245397892192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139851556736).

2245397892192 is an abundant number, since it is smaller than the sum of its proper divisors (6034305221280).

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

2245397892192 is a wasteful number, since it uses less digits than its factorization.

2245397892192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902 (or 15879 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 2245397892192 in words is "two trillion, two hundred forty-five billion, three hundred ninety-seven million, eight hundred ninety-two thousand, one hundred ninety-two".