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475913525472 = 2532721121914669
BaseRepresentation
bin1101110110011101010…
…10000001100011100000
31200111102020021000210100
412323032222001203200
530244132330303342
61002344234302400
746245403135500
oct6731652014340
91614366230710
10475913525472
11173919861700
127829a587a00
1335b55c65398
141906a317a00
15c5a625ee4c
hex6ecea818e0

475913525472 has 648 divisors, whose sum is σ = 1821673362600. Its totient is φ = 117099924480.

The previous prime is 475913525443. The next prime is 475913525473. The reversal of 475913525472 is 274525319574.

475913525472 is a `hidden beast` number, since 4 + 7 + 5 + 91 + 3 + 5 + 2 + 547 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475913525473) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32436154 + ... + 32450822.

It is an arithmetic number, because the mean of its divisors is an integer number (2811224325).

Almost surely, 2475913525472 is an apocalyptic number.

475913525472 is a gapful number since it is divisible by the number (42) 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 475913525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910836681300).

475913525472 is an abundant number, since it is smaller than the sum of its proper divisors (1345759837128).

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

475913525472 is a wasteful number, since it uses less digits than its factorization.

475913525472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14740 (or 14711 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 475913525472 in words is "four hundred seventy-five billion, nine hundred thirteen million, five hundred twenty-five thousand, four hundred seventy-two".