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104089743360 = 212345173691
BaseRepresentation
bin110000011110000111…
…0110111000000000000
3100221200012012211110000
41200330032313000000
53201133433241420
6115452420240000
710343304135351
oct1407416670000
9327605184400
10104089743360
1140164a45899
121820b540000
139a7abc3325
145076295d28
152a932da690
hex183c3b7000

104089743360 has 520 divisors, whose sum is σ = 395191635696. Its totient is φ = 26117406720.

The previous prime is 104089743349. The next prime is 104089743371. The reversal of 104089743360 is 63347980401.

It is an interprime number because it is at equal distance from previous prime (104089743349) and next prime (104089743371).

It is a super-3 number, since 3×1040897433603 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28199115 + ... + 28202805.

Almost surely, 2104089743360 is an apocalyptic number.

104089743360 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 104089743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197595817848).

104089743360 is an abundant number, since it is smaller than the sum of its proper divisors (291101892336).

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

104089743360 is an equidigital number, since it uses as much as digits as its factorization.

104089743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 104089743360 in words is "one hundred four billion, eighty-nine million, seven hundred forty-three thousand, three hundred sixty".