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22753565016 = 233713671311187
BaseRepresentation
bin10101001100001101…
…111101100101011000
32011201201211212100020
4111030031331211120
5333044403040031
614241451510440
71433566053150
oct251415754530
964651755306
1022753565016
119716881196
1244b0158420
1321b7cc7350
14115bc9d760
158d2882096
hex54c37d958

22753565016 has 256 divisors, whose sum is σ = 71658639360. Its totient is φ = 5861306880.

The previous prime is 22753564997. The next prime is 22753565033. The reversal of 22753565016 is 61056535722.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 19168375 + ... + 19169561.

It is an arithmetic number, because the mean of its divisors is an integer number (279916560).

Almost surely, 222753565016 is an apocalyptic number.

22753565016 is a gapful number since it is divisible by the number (26) 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 22753565016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35829319680).

22753565016 is an abundant number, since it is smaller than the sum of its proper divisors (48905074344).

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

22753565016 is a wasteful number, since it uses less digits than its factorization.

22753565016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 22753565016 in words is "twenty-two billion, seven hundred fifty-three million, five hundred sixty-five thousand, sixteen".