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2292747992832 = 283113141673187
BaseRepresentation
bin100001010111010010011…
…011011111111100000000
322010011222112211202002010
4201113102123133330000
5300031021441232312
64513135054252520
7324434301246363
oct41272233377400
98104875752063
102292747992832
11804392519830
123104247b7140
13138288ac3b7b
147cd807d60da
153e98db9393c
hex215d26dff00

2292747992832 has 576 divisors, whose sum is σ = 7146421567488. Its totient is φ = 645967872000.

The previous prime is 2292747992827. The next prime is 2292747992869. The reversal of 2292747992832 is 2382997472922.

2292747992832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719404743 + ... + 719407929.

It is an arithmetic number, because the mean of its divisors is an integer number (12406981888).

Almost surely, 22292747992832 is an apocalyptic number.

2292747992832 is a gapful number since it is divisible by the number (22) 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 2292747992832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573210783744).

2292747992832 is an abundant number, since it is smaller than the sum of its proper divisors (4853673574656).

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

2292747992832 is a wasteful number, since it uses less digits than its factorization.

2292747992832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3342 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 66.

The spelling of 2292747992832 in words is "two trillion, two hundred ninety-two billion, seven hundred forty-seven million, nine hundred ninety-two thousand, eight hundred thirty-two".