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25122399339072 = 26372171916431279
BaseRepresentation
bin1011011011001010000111…
…01100000100001001000000
310021221200022012112022000110
411231211003230010021000
511243101133212322242
6125233023153151320
75202014322011100
oct555450354041100
9107850265468013
1025122399339072
11800639353a672
122998a8085b540
131103055679209
1462bd05877200
152d875800339c
hex16d943b04240

25122399339072 has 672 divisors, whose sum is σ = 82491298283520. Its totient is φ = 6704536043520.

The previous prime is 25122399339071. The next prime is 25122399339109. The reversal of 25122399339072 is 27093399322152.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×251223993390722 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25122399339071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19642219329 + ... + 19642220607.

It is an arithmetic number, because the mean of its divisors is an integer number (122754908160).

Almost surely, 225122399339072 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 25122399339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41245649141760).

25122399339072 is an abundant number, since it is smaller than the sum of its proper divisors (57368898944448).

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

25122399339072 is a wasteful number, since it uses less digits than its factorization.

25122399339072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 57.

The spelling of 25122399339072 in words is "twenty-five trillion, one hundred twenty-two billion, three hundred ninety-nine million, three hundred thirty-nine thousand, seventy-two".