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108340517037060 = 2232572112173586801
BaseRepresentation
bin11000101000100011111110…
…000010000110010000000100
3112012121020210220120200220100
4120220203332002012100010
5103200022334330141220
61022230540232404100
731551226003210500
oct3050437602062004
9465536726520810
10108340517037060
113157aa56488300
121019914bb46630
13485b60ba89c39
141ca79cd70d300
15c7d2baeabd90
hex6288fe086404

108340517037060 has 648 divisors, whose sum is σ = 422629660573848. Its totient is φ = 22382148096000.

The previous prime is 108340517037019. The next prime is 108340517037113. The reversal of 108340517037060 is 60730715043801.

108340517037060 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 4 + 0 + 517 + 0 + 3 + 70 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5858423294724 + 102482093742336 = 2420418^2 + 10123344^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 108340517036997 and 108340517037015.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 184335660 + ... + 184922460.

Almost surely, 2108340517037060 is an apocalyptic number.

108340517037060 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 108340517037060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211314830286924).

108340517037060 is an abundant number, since it is smaller than the sum of its proper divisors (314289143536788).

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

108340517037060 is a wasteful number, since it uses less digits than its factorization.

108340517037060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587025 (or 587002 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 108340517037060 in words is "one hundred eight trillion, three hundred forty billion, five hundred seventeen million, thirty-seven thousand, sixty".