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22539817104 = 24372353113487
BaseRepresentation
bin10100111111011110…
…100101000010010000
32011011211122100022220
4110333132211002100
5332130143121404
614204334301040
71425362166330
oct247736450220
964154570286
1022539817104
119617159222
124450657780
1321829385ac
14113b73d0c0
158bdc0e4d9
hex53f7a5090

22539817104 has 320 divisors, whose sum is σ = 71522279424. Its totient is φ = 5977939968.

The previous prime is 22539817103. The next prime is 22539817169. The reversal of 22539817104 is 40171893522.

It is a super-3 number, since 3×225398171043 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22539817103) 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 63 ways as a sum of consecutive naturals, for example, 46282749 + ... + 46283235.

Almost surely, 222539817104 is an apocalyptic number.

22539817104 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 22539817104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35761139712).

22539817104 is an abundant number, since it is smaller than the sum of its proper divisors (48982462320).

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

22539817104 is a wasteful number, since it uses less digits than its factorization.

22539817104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 22539817104 in words is "twenty-two billion, five hundred thirty-nine million, eight hundred seventeen thousand, one hundred four".