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422521325424 = 2432111926311171
BaseRepresentation
bin1100010011000000011…
…10111100011101110000
31111101121020102020111200
412021200032330131300
523410310424403144
6522034214211200
742345321002622
oct6114016743560
91441536366450
10422521325424
11153210300540
1269a79653b00
1330ac74a0bc3
141664328ac12
15aecdba3c69
hex62603bc770

422521325424 has 360 divisors, whose sum is σ = 1364758971264. Its totient is φ = 121002336000.

The previous prime is 422521325419. The next prime is 422521325437. The reversal of 422521325424 is 424523125224.

422521325424 is a `hidden beast` number, since 4 + 225 + 2 + 1 + 3 + 2 + 5 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 360820359 + ... + 360821529.

Almost surely, 2422521325424 is an apocalyptic number.

422521325424 is a gapful number since it is divisible by the number (44) 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 422521325424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682379485632).

422521325424 is an abundant number, since it is smaller than the sum of its proper divisors (942237645840).

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

422521325424 is a wasteful number, since it uses less digits than its factorization.

422521325424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1837 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The spelling of 422521325424 in words is "four hundred twenty-two billion, five hundred twenty-one million, three hundred twenty-five thousand, four hundred twenty-four".