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422494662672 = 2432172101100517
BaseRepresentation
bin1100010010111101010…
…01001111000000010000
31111101112101020122002100
412021132221033000100
523410232113201142
6522031422520400
742344545243635
oct6113651170020
91441471218070
10422494662672
111531a724a405
1269a70736100
1330ac1ac6c24
141663d90a18c
15aecb688b4c
hex625ea4f010

422494662672 has 180 divisors, whose sum is σ = 1268491122756. Its totient is φ = 131233689600.

The previous prime is 422494662647. The next prime is 422494662713. The reversal of 422494662672 is 276266494224.

It is a happy number.

422494662672 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 9 + 4 + 6 + 626 + 7 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30914078976 + 391580583696 = 175824^2 + 625764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4152958 + ... + 4253474.

Almost surely, 2422494662672 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 422494662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634245561378).

422494662672 is an abundant number, since it is smaller than the sum of its proper divisors (845996460084).

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

422494662672 is a wasteful number, since it uses less digits than its factorization.

422494662672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100666 (or 100640 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 422494662672 in words is "four hundred twenty-two billion, four hundred ninety-four million, six hundred sixty-two thousand, six hundred seventy-two".