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11896373079360 = 26325711411308421
BaseRepresentation
bin1010110100011101011100…
…0101110110110101000000
31120010021121200202002202200
42231013113011312311000
53024402233002014420
641145041321313200
72335325133510240
oct255072705666500
946107550662680
1011896373079360
113877250513630
12140171b335800
13683a91665873
142d1b04da1b20
151596ba5a7b90
hexad1d7176d40

11896373079360 has 672 divisors, whose sum is σ = 52259672634624. Its totient is φ = 2411679744000.

The previous prime is 11896373079281. The next prime is 11896373079361. The reversal of 11896373079360 is 6397037369811.

11896373079360 is a `hidden beast` number, since 1 + 1 + 89 + 63 + 73 + 0 + 79 + 360 = 666.

11896373079360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11896373079361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8437950 + ... + 9746370.

It is an arithmetic number, because the mean of its divisors is an integer number (77767369992).

Almost surely, 211896373079360 is an apocalyptic number.

11896373079360 is a gapful number since it is divisible by the number (10) 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 11896373079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26129836317312).

11896373079360 is an abundant number, since it is smaller than the sum of its proper divisors (40363299555264).

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

11896373079360 is a wasteful number, since it uses less digits than its factorization.

11896373079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308503 (or 1308490 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 11896373079360 in words is "eleven trillion, eight hundred ninety-six billion, three hundred seventy-three million, seventy-nine thousand, three hundred sixty".