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473836512960 = 263351923125497
BaseRepresentation
bin1101110010100101101…
…10110110011011000000
31200022001110222212021000
412321102312312123000
530230404121403320
61001402200532000
746143052622436
oct6712266663300
91608043885230
10473836512960
11172a533a4438
12779baa81000
13358b48656b5
1418d10532d56
15c4d3c38c90
hex6e52db66c0

473836512960 has 448 divisors, whose sum is σ = 1836085939200. Its totient is φ = 114500542464.

The previous prime is 473836512931. The next prime is 473836513009. The reversal of 473836512960 is 69215638374.

473836512960 is a `hidden beast` number, since 4 + 7 + 3 + 8 + 36 + 512 + 96 + 0 = 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 = 473836512897 and 473836512906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3712932 + ... + 3838428.

It is a 1-persistent number, because it is pandigital, but 2⋅473836512960 = 947673025920 is not.

Almost surely, 2473836512960 is an apocalyptic number.

473836512960 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 473836512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918042969600).

473836512960 is an abundant number, since it is smaller than the sum of its proper divisors (1362249426240).

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

473836512960 is a wasteful number, since it uses less digits than its factorization.

473836512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125565 (or 125549 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 473836512960 in words is "four hundred seventy-three billion, eight hundred thirty-six million, five hundred twelve thousand, nine hundred sixty".