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422508560640 = 28354367181211
BaseRepresentation
bin1100010010111110111…
…10010000000100000000
31111101120100101201111220
412021133132100010000
523410244142420030
6522033040435040
742345104336535
oct6113736200400
91441510351456
10422508560640
11153204082131
1269a75318a80
1330ac4951a8a
14166416c6d8c
15aecc9d1a10
hex625f790100

422508560640 has 576 divisors, whose sum is σ = 1415796974592. Its totient is φ = 107296358400.

The previous prime is 422508560611. The next prime is 422508560641. The reversal of 422508560640 is 46065805224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 422508560592 and 422508560601.

It is not an unprimeable number, because it can be changed into a prime (422508560641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2002410135 + ... + 2002410345.

Almost surely, 2422508560640 is an apocalyptic number.

422508560640 is a gapful number since it is divisible by the number (40) 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 422508560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707898487296).

422508560640 is an abundant number, since it is smaller than the sum of its proper divisors (993288413952).

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

422508560640 is a wasteful number, since it uses less digits than its factorization.

422508560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 422508560640 in words is "four hundred twenty-two billion, five hundred eight million, five hundred sixty thousand, six hundred forty".