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11601874944 = 21234112172
BaseRepresentation
bin10101100111000011…
…01001000000000000
31002221112222022110000
422303201221000000
5142230034444234
65155124240000
7560335211202
oct126341510000
932845868400
1011601874944
114a13a57400
1222b9540000
13112b82b77a
147c0bc4772
1547d82c899
hex2b3869000

11601874944 has 585 divisors, whose sum is σ = 40468053241. Its totient is φ = 3308912640.

The previous prime is 11601874913. The next prime is 11601874957. The reversal of 11601874944 is 44947810611.

The square root of 11601874944 is 107712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9032601600 + 2569273344 = 95040^2 + 50688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11601874944.

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 44 ways as a sum of consecutive naturals, for example, 682463224 + ... + 682463240.

Almost surely, 211601874944 is an apocalyptic number.

11601874944 is the 107712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11601874944

11601874944 is an abundant number, since it is smaller than the sum of its proper divisors (28866178297).

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

11601874944 is an equidigital number, since it uses as much as digits as its factorization.

11601874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11601874944 in words is "eleven billion, six hundred one million, eight hundred seventy-four thousand, nine hundred forty-four".