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104895030240 = 2533571113127191
BaseRepresentation
bin110000110110000111…
…0110010001111100000
3101000202022111122101000
41201230032302033200
53204311111431430
6120104344312000
710402253021460
oct1415416621740
9330668448330
10104895030240
1140538567840
12183b5172600
139b789a7740
1451111d9ba0
152addd58e60
hex186c3b23e0

104895030240 has 1536 divisors, whose sum is σ = 499415777280. Its totient is φ = 19856793600.

The previous prime is 104895030193. The next prime is 104895030241. The reversal of 104895030240 is 42030598401.

104895030240 is a `hidden beast` number, since 104 + 8 + 9 + 503 + 0 + 2 + 40 = 666.

It is a super-2 number, since 2×1048950302402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104895030195 and 104895030204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104895030241) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 549188545 + ... + 549188735.

It is an arithmetic number, because the mean of its divisors is an integer number (325140480).

Almost surely, 2104895030240 is an apocalyptic number.

104895030240 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 104895030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249707888640).

104895030240 is an abundant number, since it is smaller than the sum of its proper divisors (394520747040).

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

104895030240 is a wasteful number, since it uses less digits than its factorization.

104895030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 104895030240 in words is "one hundred four billion, eight hundred ninety-five million, thirty thousand, two hundred forty".