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22925211113376 = 2534112135622761
BaseRepresentation
bin1010011011001101100010…
…00100001001011110100000
310000011121222101020200210000
411031212301010021132200
511001101313021112001
6120431410244140000
74554202050153525
oct515466104113640
9100147871220700
1022925211113376
117339589018300
1226a3086997600
13ca3ab84b6270
1459382c51314c
1529b50d864a86
hex14d9b11097a0

22925211113376 has 360 divisors, whose sum is σ = 79809630019812. Its totient is φ = 6412645324800.

The previous prime is 22925211113359. The next prime is 22925211113401. The reversal of 22925211113376 is 67331111252922.

22925211113376 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 521 + 1 + 113 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21448198688400 + 1477012424976 = 4631220^2 + 1215324^2 .

It is a super-2 number, since 2×229252111133762 (a number of 28 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 1265836 + ... + 6888596.

Almost surely, 222925211113376 is an apocalyptic number.

22925211113376 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 22925211113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39904815009906).

22925211113376 is an abundant number, since it is smaller than the sum of its proper divisors (56884418906436).

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

22925211113376 is a wasteful number, since it uses less digits than its factorization.

22925211113376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622818 (or 5622790 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 22925211113376 in words is "twenty-two trillion, nine hundred twenty-five billion, two hundred eleven million, one hundred thirteen thousand, three hundred seventy-six".