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104884406415360 = 21232511213227827
BaseRepresentation
bin10111110110010001001101…
…110010010111000000000000
3111202100211222121201010201100
4113312101031302113000000
5102221411231020242420
61011023121531334400
731043435236510125
oct2766211562270000
9452324877633640
10104884406415360
11304682550aa700
12b91b3735b1400
13466a731bc0c00
141bc860a55a74c
15c1d43dce0190
hex5f644dc97000

104884406415360 has 1404 divisors, whose sum is σ = 432729252007416. Its totient is φ = 23469792952320.

The previous prime is 104884406415301. The next prime is 104884406415367. The reversal of 104884406415360 is 63514604488401.

104884406415360 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 4 + 40 + 64 + 1 + 536 + 0 = 666.

It is a super-2 number, since 2×1048844064153602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104884406415297 and 104884406415306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104884406415367) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3769145767 + ... + 3769173593.

It is an arithmetic number, because the mean of its divisors is an integer number (308211717954).

Almost surely, 2104884406415360 is an apocalyptic number.

104884406415360 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 104884406415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216364626003708).

104884406415360 is an abundant number, since it is smaller than the sum of its proper divisors (327844845592056).

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

104884406415360 is a wasteful number, since it uses less digits than its factorization.

104884406415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27910 (or 27861 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 104884406415360 in words is "one hundred four trillion, eight hundred eighty-four billion, four hundred six million, four hundred fifteen thousand, three hundred sixty".