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2242052626432 = 21131532692477
BaseRepresentation
bin100000101000000100110…
…000000001100000000000
321221100010111120022002011
4200220010300001200000
5243213210433021212
64433552412502304
7320661103611343
oct40500460014000
97840114508064
102242052626432
11794938291703
12302636a7a994
13133569c77b48
147a7319b645a
153d4c32444a7
hex20a04c01800

2242052626432 has 192 divisors, whose sum is σ = 4734375609600. Its totient is φ = 1060010065920.

The previous prime is 2242052626427. The next prime is 2242052626453. The reversal of 2242052626432 is 2346262502422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905147178 + ... + 905149654.

It is an arithmetic number, because the mean of its divisors is an integer number (24658206300).

Almost surely, 22242052626432 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 2242052626432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367187804800).

2242052626432 is an abundant number, since it is smaller than the sum of its proper divisors (2492322983168).

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

2242052626432 is a wasteful number, since it uses less digits than its factorization.

2242052626432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 2242052626432 in words is "two trillion, two hundred forty-two billion, fifty-two million, six hundred twenty-six thousand, four hundred thirty-two".