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473896014120 = 2332519564712269
BaseRepresentation
bin1101110010101100110…
…01110101000100101000
31200022012121221211111200
412321112121311010220
530231014334422440
61001412124124200
746144404441264
oct6712631650450
91608177854450
10473896014120
11172a83a44551
1277a16996660
13358c3c99599
1418d183c10a4
15c4d908dc30
hex6e56675128

473896014120 has 192 divisors, whose sum is σ = 1621642464000. Its totient is φ = 119690141184.

The previous prime is 473896014103. The next prime is 473896014149. The reversal of 473896014120 is 21410698374.

473896014120 is a `hidden beast` number, since 4 + 7 + 38 + 9 + 601 + 4 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 38619346 + ... + 38631614.

It is an arithmetic number, because the mean of its divisors is an integer number (8446054500).

Almost surely, 2473896014120 is an apocalyptic number.

473896014120 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 473896014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810821232000).

473896014120 is an abundant number, since it is smaller than the sum of its proper divisors (1147746449880).

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

473896014120 is a wasteful number, since it uses less digits than its factorization.

473896014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17952 (or 17945 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 473896014120 in words is "four hundred seventy-three billion, eight hundred ninety-six million, fourteen thousand, one hundred twenty".