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473074318080 = 28345721321929
BaseRepresentation
bin1101110001001010110…
…11010011101100000000
31200020002100210100110000
412320211123103230000
530222324011134310
61001154412240000
746115136233100
oct6704533235400
91606070710400
10473074318080
111726a2135111
1277827770000
13357c298b300
1418c7b209200
15c48bd7d4c0
hex6e256d3b00

473074318080 has 3240 divisors, whose sum is σ = 2321852979600. Its totient is φ = 91299446784.

The previous prime is 473074318043. The next prime is 473074318111. The reversal of 473074318080 is 80813470374.

473074318080 is a `hidden beast` number, since 473 + 0 + 74 + 31 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 16312907506 + ... + 16312907534.

It is an arithmetic number, because the mean of its divisors is an integer number (716621290).

Almost surely, 2473074318080 is an apocalyptic number.

473074318080 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 473074318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160926489800).

473074318080 is an abundant number, since it is smaller than the sum of its proper divisors (1848778661520).

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

473074318080 is a wasteful number, since it uses less digits than its factorization.

473074318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 473074318080 in words is "four hundred seventy-three billion, seventy-four million, three hundred eighteen thousand, eighty".