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104552448000 = 2143537111317
BaseRepresentation
bin110000101011111001…
…1111100000000000000
3100222212102212122212220
41201113303330000000
53203110411314000
6120010345451040
710360623100440
oct1412763740000
9328772778786
10104552448000
1140382149720
121831a4a0a80
139b22a1a960
1450bb900120
152abdc381a0
hex1857cfc000

104552448000 has 1920 divisors, whose sum is σ = 494644340736. Its totient is φ = 18874368000.

The previous prime is 104552447981. The next prime is 104552448001. The reversal of 104552448000 is 844255401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104552448001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6150143992 + ... + 6150144008.

Almost surely, 2104552448000 is an apocalyptic number.

104552448000 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 104552448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247322170368).

104552448000 is an abundant number, since it is smaller than the sum of its proper divisors (390091892736).

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

104552448000 is a wasteful number, since it uses less digits than its factorization.

104552448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 104552448000 in words is "one hundred four billion, five hundred fifty-two million, four hundred forty-eight thousand".