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473103675072 = 2635761191373
BaseRepresentation
bin1101110001001110010…
…11010010111011000000
31200020011102000211200000
412320213023102323000
530222404020100242
61001201341400000
746115643613020
oct6704713227300
91606142024600
10473103675072
11172707766496
1277835569000
13357c8a99702
1418c8108ba80
15c48e72ba4c
hex6e272d2ec0

473103675072 has 672 divisors, whose sum is σ = 1646491951104. Its totient is φ = 131905843200.

The previous prime is 473103675049. The next prime is 473103675091. The reversal of 473103675072 is 270576301374.

473103675072 is a `hidden beast` number, since 4 + 73 + 10 + 3 + 67 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1268374278 + ... + 1268374650.

It is an arithmetic number, because the mean of its divisors is an integer number (2450136832).

Almost surely, 2473103675072 is an apocalyptic number.

473103675072 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 473103675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823245975552).

473103675072 is an abundant number, since it is smaller than the sum of its proper divisors (1173388276032).

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

473103675072 is a wasteful number, since it uses less digits than its factorization.

473103675072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 473103675072 in words is "four hundred seventy-three billion, one hundred three million, six hundred seventy-five thousand, seventy-two".