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472994496000 = 29325313243113
BaseRepresentation
bin1101110001000001010…
…10110011111000000000
31200012212210120222010200
412320200222303320000
530222143042333000
61001142441325200
746113146610465
oct6704052637000
91605783528120
10472994496000
11172661075654
1277804a96800
13357ac290c00
1418c7078b66c
15c484d62500
hex6e20ab3e00

472994496000 has 1440 divisors, whose sum is σ = 1904373817632. Its totient is φ = 112715366400.

The previous prime is 472994495989. The next prime is 472994496017. The reversal of 472994496000 is 694499274.

472994496000 is a `hidden beast` number, since 4 + 7 + 29 + 9 + 4 + 4 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4185791944 + ... + 4185792056.

Almost surely, 2472994496000 is an apocalyptic number.

472994496000 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 472994496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952186908816).

472994496000 is an abundant number, since it is smaller than the sum of its proper divisors (1431379321632).

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

472994496000 is a wasteful number, since it uses less digits than its factorization.

472994496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 472994496000 in words is "four hundred seventy-two billion, nine hundred ninety-four million, four hundred ninety-six thousand".