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104848097328 = 2433131929311093
BaseRepresentation
bin110000110100101101…
…1110000000000110000
3101000122001012012112000
41201221123300000300
53204212103103303
6120055550334000
710401143060022
oct1415133600060
9330561165460
10104848097328
1140514021407
12183a14ba300
139b6c0543a0
145108ca0012
152ad9b87da3
hex18696f0030

104848097328 has 640 divisors, whose sum is σ = 364643328000. Its totient is φ = 28531077120.

The previous prime is 104848097327. The next prime is 104848097441. The reversal of 104848097328 is 823790848401.

It is a happy number.

104848097328 is a `hidden beast` number, since 1 + 0 + 48 + 480 + 97 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (104848097327) 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, 95926350 + ... + 95927442.

It is an arithmetic number, because the mean of its divisors is an integer number (569755200).

Almost surely, 2104848097328 is an apocalyptic number.

104848097328 is a gapful number since it is divisible by the number (18) 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 104848097328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182321664000).

104848097328 is an abundant number, since it is smaller than the sum of its proper divisors (259795230672).

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

104848097328 is a wasteful number, since it uses less digits than its factorization.

104848097328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 104848097328 in words is "one hundred four billion, eight hundred forty-eight million, ninety-seven thousand, three hundred twenty-eight".