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522945372672 = 2934532672
BaseRepresentation
bin1111001110000011111…
…10010010001000000000
31211222210221222102020000
413213001332102020000
532031443003411142
61040123210120000
752532034216522
oct7470176221000
91758727872200
10522945372672
11191864036608
1285425420000
133a40cac1578
141b44c771a12
15d90a25214c
hex79c1f92200

522945372672 has 450 divisors, whose sum is σ = 1614958552053. Its totient is φ = 168473530368.

The previous prime is 522945372589. The next prime is 522945372707. The reversal of 522945372672 is 276273549225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

522945372672 is a `hidden beast` number, since 5 + 229 + 45 + 372 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 496044124416 + 26901248256 = 704304^2 + 164016^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=511344.

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

Its product of digits (12700800) is a multiple of the sum of its prime factors (270).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7805154783 + ... + 7805154849.

Almost surely, 2522945372672 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 522945372672

522945372672 is an abundant number, since it is smaller than the sum of its proper divisors (1092013179381).

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

522945372672 is an frugal number, since it uses more digits than its factorization.

522945372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 125 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 522945372672 in words is "five hundred twenty-two billion, nine hundred forty-five million, three hundred seventy-two thousand, six hundred seventy-two".