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22056114340104 = 233132310176139989
BaseRepresentation
bin1010000001111010101101…
…10111000100000100001000
32220002112200112100012001120
411000331112313010010020
510342331410232340404
6114524234500115240
74434334034400105
oct500752667040410
986075615305046
1022056114340104
117033a445a8109
122582758095b20
13c3cb62278540
145637434d1aac
15283ae43c99d9
hex140f56dc4108

22056114340104 has 256 divisors, whose sum is σ = 62660964441600. Its totient is φ = 6418553856000.

The previous prime is 22056114339991. The next prime is 22056114340151. The reversal of 22056114340104 is 40104341165022.

It is a happy 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, 551534542 + ... + 551574530.

It is an arithmetic number, because the mean of its divisors is an integer number (244769392350).

Almost surely, 222056114340104 is an apocalyptic number.

22056114340104 is a gapful number since it is divisible by the number (24) 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 22056114340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31330482220800).

22056114340104 is an abundant number, since it is smaller than the sum of its proper divisors (40604850101496).

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

22056114340104 is a wasteful number, since it uses less digits than its factorization.

22056114340104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40896 (or 40892 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 22056114340104 in words is "twenty-two trillion, fifty-six billion, one hundred fourteen million, three hundred forty thousand, one hundred four".