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22126485150 = 233527111719659
BaseRepresentation
bin10100100110110101…
…110101111010011110
32010010000212220111000
4110212311311322132
5330303340011100
614055331211130
71412213010030
oct244665657236
963100786430
1022126485150
119424907870
124356146aa6
132118109983
1410dc8a7c50
158977b5900
hex526d75e9e

22126485150 has 768 divisors, whose sum is σ = 84851712000. Its totient is φ = 4093286400.

The previous prime is 22126485137. The next prime is 22126485187. The reversal of 22126485150 is 5158462122.

22126485150 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 648 + 5 + 1 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33575521 + ... + 33576179.

It is an arithmetic number, because the mean of its divisors is an integer number (110484000).

Almost surely, 222126485150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22126485150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42425856000).

22126485150 is an abundant number, since it is smaller than the sum of its proper divisors (62725226850).

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

22126485150 is a wasteful number, since it uses less digits than its factorization.

22126485150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 22126485150 in words is "twenty-two billion, one hundred twenty-six million, four hundred eighty-five thousand, one hundred fifty".