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115006356816 = 243131693108863
BaseRepresentation
bin110101100011011101…
…0011011110101010000
3101222211222202020211220
41223012322123311100
53341013111404231
6124455545205040
711210651621631
oct1530672336520
9358758666756
10115006356816
11448570aa08a
121a357490780
13aaca773010
1457d005b888
152ed18a7896
hex1ac6e9bd50

115006356816 has 80 divisors (see below), whose sum is σ = 320145509376. Its totient is φ = 35365344768.

The previous prime is 115006356743. The next prime is 115006356827. The reversal of 115006356816 is 618653600511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002001 + ... + 1110863.

Almost surely, 2115006356816 is an apocalyptic number.

115006356816 is a gapful number since it is divisible by the number (16) 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 115006356816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160072754688).

115006356816 is an abundant number, since it is smaller than the sum of its proper divisors (205139152560).

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

115006356816 is a wasteful number, since it uses less digits than its factorization.

115006356816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110580 (or 110574 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 115006356816 in words is "one hundred fifteen billion, six million, three hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1693 3386 5079 6772 10158 13544 20316 22009 27088 40632 44018 66027 81264 88036 108863 132054 176072 217726 264108 326589 352144 435452 528216 653178 870904 1056432 1306356 1415219 1741808 2612712 2830438 4245657 5225424 5660876 8491314 11321752 16982628 22643504 33965256 67930512 184305059 368610118 552915177 737220236 1105830354 1474440472 2211660708 2395965767 2948880944 4423321416 4791931534 7187897301 8846642832 9583863068 14375794602 19167726136 28751589204 38335452272 57503178408 115006356816