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104543671680 = 2733572374771
BaseRepresentation
bin110000101011101001…
…0011101010110000000
3100222211211100210001000
41201113102131112000
53203101134443210
6120005433412000
710360455355500
oct1412722352600
9328754323030
10104543671680
11403781a4968
121831756a000
139b20c67076
1450ba697a00
152abd0a2ac0
hex185749d580

104543671680 has 1536 divisors, whose sum is σ = 458124595200. Its totient is φ = 22434693120.

The previous prime is 104543671657. The next prime is 104543671693. The reversal of 104543671680 is 86176345401.

104543671680 is a `hidden beast` number, since 1 + 0 + 454 + 36 + 7 + 168 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1472446045 + ... + 1472446115.

It is an arithmetic number, because the mean of its divisors is an integer number (298258200).

Almost surely, 2104543671680 is an apocalyptic number.

104543671680 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 104543671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229062297600).

104543671680 is an abundant number, since it is smaller than the sum of its proper divisors (353580923520).

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

104543671680 is a wasteful number, since it uses less digits than its factorization.

104543671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104543671680 in words is "one hundred four billion, five hundred forty-three million, six hundred seventy-one thousand, six hundred eighty".