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472895022960 = 24345316013917
BaseRepresentation
bin1101110000110101011…
…11010110011101110000
31200012121212102012210000
412320122233112131300
530221442111213320
61001124525310000
746110531241563
oct6703257263560
91605555365700
10472895022960
1117260aa04028
1277797705300
13357947a3219
1418c614964da
15c47b263c90
hex6e1abd6770

472895022960 has 400 divisors, whose sum is σ = 1698670778112. Its totient is φ = 121803264000.

The previous prime is 472895022931. The next prime is 472895022967. The reversal of 472895022960 is 69220598274.

472895022960 is a `hidden beast` number, since 4 + 72 + 8 + 9 + 502 + 2 + 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 = 472895022897 and 472895022906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472895022967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120726922 + ... + 120730838.

Almost surely, 2472895022960 is an apocalyptic number.

472895022960 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 472895022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849335389056).

472895022960 is an abundant number, since it is smaller than the sum of its proper divisors (1225775755152).

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

472895022960 is a wasteful number, since it uses less digits than its factorization.

472895022960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 472895022960 in words is "four hundred seventy-two billion, eight hundred ninety-five million, twenty-two thousand, nine hundred sixty".