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104883597245952 = 2933728313913421
BaseRepresentation
bin10111110110010000011101…
…100011100111111000000000
3111202100202220020010001222000
4113312100131203213320000
5102221403101343332302
61011022505344144000
731043406212623500
oct2766203543477000
9452322806101860
10104883597245952
113046797a376758
12b91b188608000
13466a63337a545
141bc8570cc5a00
15c1d3e2c5631c
hex5f641d8e7e00

104883597245952 has 960 divisors, whose sum is σ = 368158673836800. Its totient is φ = 29390516305920.

The previous prime is 104883597245899. The next prime is 104883597245993. The reversal of 104883597245952 is 259542795388401.

It is a happy number.

104883597245952 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 3 + 5 + 9 + 7 + 24 + 595 + 2 = 666.

It is a super-2 number, since 2×1048835972459522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7814880202 + ... + 7814893622.

It is an arithmetic number, because the mean of its divisors is an integer number (383498618580).

Almost surely, 2104883597245952 is an apocalyptic number.

104883597245952 is a gapful number since it is divisible by the number (12) 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 104883597245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184079336918400).

104883597245952 is an abundant number, since it is smaller than the sum of its proper divisors (263275076590848).

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

104883597245952 is a wasteful number, since it uses less digits than its factorization.

104883597245952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13684 (or 13655 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 104883597245952 in words is "one hundred four trillion, eight hundred eighty-three billion, five hundred ninety-seven million, two hundred forty-five thousand, nine hundred fifty-two".