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22412892672 = 293329371511
BaseRepresentation
bin10100110111111010…
…011001101000000000
32010211222210220202000
4110313322121220000
5331400200031142
614144002024000
71422261305262
oct246772315000
963758726660
1022412892672
119561547aa5
124416048000
132162558991
14112893db32
158b29dc14c
hex537e99a00

22412892672 has 320 divisors, whose sum is σ = 70532985600. Its totient is φ = 7013744640.

The previous prime is 22412892637. The next prime is 22412892673. The reversal of 22412892672 is 27629821422.

It is not an unprimeable number, because it can be changed into a prime (22412892673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14832397 + ... + 14833907.

It is an arithmetic number, because the mean of its divisors is an integer number (220415580).

Almost surely, 222412892672 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 22412892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35266492800).

22412892672 is an abundant number, since it is smaller than the sum of its proper divisors (48120092928).

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

22412892672 is a wasteful number, since it uses less digits than its factorization.

22412892672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1582 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 22412892672 in words is "twenty-two billion, four hundred twelve million, eight hundred ninety-two thousand, six hundred seventy-two".