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422468724384 = 25347233727361
BaseRepresentation
bin1100010010111010001…
…10010010011010100000
31111101110120102211110000
412021131012102122200
523410203443140014
6522025054540000
742344111623050
oct6113506223240
91441416384400
10422468724384
11153193643603
1269a63b07600
1330ab9614925
141663a2b7560
15aec9263509
hex625d1926a0

422468724384 has 480 divisors, whose sum is σ = 1521803517696. Its totient is φ = 112332718080.

The previous prime is 422468724331. The next prime is 422468724481. The reversal of 422468724384 is 483427864224.

422468724384 is a `hidden beast` number, since 4 + 2 + 246 + 87 + 243 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 422468724384.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15426864 + ... + 15454224.

Almost surely, 2422468724384 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 422468724384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760901758848).

422468724384 is an abundant number, since it is smaller than the sum of its proper divisors (1099334793312).

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

422468724384 is a wasteful number, since it uses less digits than its factorization.

422468724384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27450 (or 27433 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 422468724384 in words is "four hundred twenty-two billion, four hundred sixty-eight million, seven hundred twenty-four thousand, three hundred eighty-four".