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22134460279134 = 2372315576436781
BaseRepresentation
bin1010000100001100101001…
…01001000110100101011110
32220101000220121001020222010
411002012110221012211132
510400122333312413014
6115024233005332050
74443106363031400
oct502062451064536
986330817036863
1022134460279134
117064198868755
122595981b67026
13c473697c9948
14567456702b70
15285b7c56b359
hex142194a4695e

22134460279134 has 192 divisors, whose sum is σ = 53343797778432. Its totient is φ = 6098739091200.

The previous prime is 22134460279123. The next prime is 22134460279163. The reversal of 22134460279134 is 43197206443122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3264184824 + ... + 3264191604.

It is an arithmetic number, because the mean of its divisors is an integer number (277832280096).

Almost surely, 222134460279134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134460279134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671898889216).

22134460279134 is an abundant number, since it is smaller than the sum of its proper divisors (31209337499298).

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

22134460279134 is a wasteful number, since it uses less digits than its factorization.

22134460279134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 22134460279134 in words is "twenty-two trillion, one hundred thirty-four billion, four hundred sixty million, two hundred seventy-nine thousand, one hundred thirty-four".