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22687912080 = 2434523191797
BaseRepresentation
bin10101001000010011…
…100001000010010000
32011120011022100110000
4111020103201002100
5332431101141310
614231144410000
71432141033161
oct251023410220
964504270400
1022687912080
11969280a169
124492176900
1321a751b362
14115328d768
158cbc144c0
hex5484e1090

22687912080 has 400 divisors, whose sum is σ = 82758703104. Its totient is φ = 5749539840.

The previous prime is 22687912063. The next prime is 22687912127. The reversal of 22687912080 is 8021978622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28466242 + ... + 28467038.

Almost surely, 222687912080 is an apocalyptic number.

22687912080 is a gapful number since it is divisible by the number (20) 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 22687912080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41379351552).

22687912080 is an abundant number, since it is smaller than the sum of its proper divisors (60070791024).

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

22687912080 is a wasteful number, since it uses less digits than its factorization.

22687912080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 22687912080 in words is "twenty-two billion, six hundred eighty-seven million, nine hundred twelve thousand, eighty".