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472574424960 = 27365113761
BaseRepresentation
bin1101110000001111010…
…00010111011110000000
31200011210112011011000000
412320013220113132000
530220313023044320
61001033034000000
746066556222541
oct6700750273600
91604715134000
10472574424960
11172465a41000
1277708276000
1335743242a71
1418c30a804c8
15c45d036c90
hex6e07a17780

472574424960 has 896 divisors, whose sum is σ = 1865553210720. Its totient is φ = 114412953600.

The previous prime is 472574424923. The next prime is 472574425031. The reversal of 472574424960 is 69424475274.

472574424960 is a `hidden beast` number, since 4 + 7 + 2 + 574 + 4 + 2 + 4 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 472574424897 and 472574424906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 620990980 + ... + 620991740.

Almost surely, 2472574424960 is an apocalyptic number.

472574424960 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 472574424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932776605360).

472574424960 is an abundant number, since it is smaller than the sum of its proper divisors (1392978785760).

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

472574424960 is an frugal number, since it uses more digits than its factorization.

472574424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 472574424960 in words is "four hundred seventy-two billion, five hundred seventy-four million, four hundred twenty-four thousand, nine hundred sixty".