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22493078643168 = 2534747123721323
BaseRepresentation
bin1010001110101000100111…
…11101100110000111100000
32221122022120022202201020000
411013110103331212013200
510422011311113040133
6115501102213420000
74511033312602410
oct507242375460740
987568508681200
1022493078643168
117192296556501
12263338663a600
13c7211ba66853
1457a956a06640
1529016b014413
hex147513f661e0

22493078643168 has 480 divisors, whose sum is σ = 77276325417984. Its totient is φ = 6284478348288.

The previous prime is 22493078643151. The next prime is 22493078643169. The reversal of 22493078643168 is 86134687039422.

22493078643168 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 307 + 8 + 6 + 4 + 316 + 8 = 666.

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 (22493078643169) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1054863355 + ... + 1054884677.

Almost surely, 222493078643168 is an apocalyptic number.

22493078643168 is a gapful number since it is divisible by the number (28) 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 22493078643168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38638162708992).

22493078643168 is an abundant number, since it is smaller than the sum of its proper divisors (54783246774816).

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

22493078643168 is a wasteful number, since it uses less digits than its factorization.

22493078643168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22636 (or 22619 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 22493078643168 in words is "twenty-two trillion, four hundred ninety-three billion, seventy-eight million, six hundred forty-three thousand, one hundred sixty-eight".