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104452830720 = 29355717283
BaseRepresentation
bin110000101000111011…
…1111011011000000000
3100222121111102120200000
41201101313323120000
53202404411040340
6115552430400000
710355303261160
oct1412167733000
9328544376600
10104452830720
1140330999797
12182b1060000
139b081ac414
1450ac5ac5a0
152ab510bd30
hex1851dfb600

104452830720 has 1440 divisors, whose sum is σ = 460930998528. Its totient is φ = 22199795712.

The previous prime is 104452830719. The next prime is 104452830773. The reversal of 104452830720 is 27038254401.

It is a happy number.

104452830720 is a `hidden beast` number, since 104 + 4 + 528 + 3 + 0 + 7 + 20 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1258467799 + ... + 1258467881.

Almost surely, 2104452830720 is an apocalyptic number.

104452830720 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 104452830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230465499264).

104452830720 is an abundant number, since it is smaller than the sum of its proper divisors (356478167808).

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

104452830720 is an frugal number, since it uses more digits than its factorization.

104452830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 104452830720 in words is "one hundred four billion, four hundred fifty-two million, eight hundred thirty thousand, seven hundred twenty".