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22638957113472 = 27372172913031873
BaseRepresentation
bin1010010010111000010101…
…11111110011000010000000
32222011021002211211211020120
411021130022333303002000
510431404041010112342
6120052105431340240
74524416314255200
oct511341277630200
988137084754216
1022638957113472
117239145104367
1226576b8b21680
13c82ac948332b
14583a34c4a400
15293d57d64aec
hex14970aff3080

22638957113472 has 768 divisors, whose sum is σ = 76721302137600. Its totient is φ = 5870216282112.

The previous prime is 22638957113467. The next prime is 22638957113473. The reversal of 22638957113472 is 27431175983622.

It is not an unprimeable number, because it can be changed into a prime (22638957113473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12087002328 + ... + 12087004200.

It is an arithmetic number, because the mean of its divisors is an integer number (99897528825).

Almost surely, 222638957113472 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 22638957113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38360651068800).

22638957113472 is an abundant number, since it is smaller than the sum of its proper divisors (54082345024128).

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

22638957113472 is a wasteful number, since it uses less digits than its factorization.

22638957113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3234 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The spelling of 22638957113472 in words is "twenty-two trillion, six hundred thirty-eight billion, nine hundred fifty-seven million, one hundred thirteen thousand, four hundred seventy-two".