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104462472960 = 283552937313
BaseRepresentation
bin110000101001001110…
…0101101011100000000
3100222122011120110100000
41201102130231130000
53202414343113320
6115553413200000
710355451240516
oct1412234553400
9328564513300
10104462472960
114033638508a
12182b4330000
139b0a1a71a1
1450ad99c4b6
152ab5db3c90
hex185272d700

104462472960 has 864 divisors, whose sum is σ = 399491951040. Its totient is φ = 26085556224.

The previous prime is 104462472953. The next prime is 104462472979. The reversal of 104462472960 is 69274264401.

104462472960 is a `hidden beast` number, since 10 + 4 + 4 + 624 + 7 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333745764 + ... + 333746076.

Almost surely, 2104462472960 is an apocalyptic number.

104462472960 is a gapful number since it is divisible by the number (10) 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 104462472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199745975520).

104462472960 is an abundant number, since it is smaller than the sum of its proper divisors (295029478080).

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

104462472960 is an equidigital number, since it uses as much as digits as its factorization.

104462472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 104462472960 in words is "one hundred four billion, four hundred sixty-two million, four hundred seventy-two thousand, nine hundred sixty".