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104898447360 = 211345722989
BaseRepresentation
bin110000110110001101…
…1110100100000000000
3101000202112221020210000
41201230123310200000
53204313000303420
6120104545440000
710402324043100
oct1415433644000
9330675836700
10104898447360
114053a491103
12183b6340000
139b79602bc5
145111849200
152ade2d1690
hex186c6f4800

104898447360 has 1440 divisors, whose sum is σ = 457540083000. Its totient is φ = 22889889792.

The previous prime is 104898447359. The next prime is 104898447361. The reversal of 104898447360 is 63744898401.

104898447360 is a `hidden beast` number, since 10 + 4 + 89 + 84 + 473 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104898447359) and next prime (104898447361).

It can be written as a sum of positive squares in 4 ways, for example, as 69746697216 + 35151750144 = 264096^2 + 187488^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1048984473602 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104898447297 and 104898447306.

It is not an unprimeable number, because it can be changed into a prime (104898447361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1178634196 + ... + 1178634284.

Almost surely, 2104898447360 is an apocalyptic number.

104898447360 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 104898447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228770041500).

104898447360 is an abundant number, since it is smaller than the sum of its proper divisors (352641635640).

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

104898447360 is an equidigital number, since it uses as much as digits as its factorization.

104898447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 104898447360 in words is "one hundred four billion, eight hundred ninety-eight million, four hundred forty-seven thousand, three hundred sixty".