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104461854720 = 211356750753
BaseRepresentation
bin110000101001001101…
…0010110100000000000
3100222122010102001021020
41201102122112200000
53202414213322340
6115553352025440
710355443054206
oct1412232264000
9328563361236
10104461854720
1140335aa2643
12182b4092280
139b0a01b972
1450ad87b076
152ab5ce09d0
hex1852696800

104461854720 has 192 divisors, whose sum is σ = 339191012160. Its totient is φ = 27440185344.

The previous prime is 104461854701. The next prime is 104461854743. The reversal of 104461854720 is 27458164401.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032864 + ... + 2083616.

It is an arithmetic number, because the mean of its divisors is an integer number (1766619855).

Almost surely, 2104461854720 is an apocalyptic number.

104461854720 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 104461854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169595506080).

104461854720 is an abundant number, since it is smaller than the sum of its proper divisors (234729157440).

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

104461854720 is an equidigital number, since it uses as much as digits as its factorization.

104461854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50850 (or 50830 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 104461854720 in words is "one hundred four billion, four hundred sixty-one million, eight hundred fifty-four thousand, seven hundred twenty".