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115079071752 = 2332399792
BaseRepresentation
bin110101100101100111…
…1110100100000001000
3102000001001120112222200
41223023033310200020
53341140220244002
6124511103520200
711212523653551
oct1531317644010
9360031515880
10115079071752
1144894154977
121a3778b9060
13ab0c8524c8
1457d9989328
152ed7e6cb1c
hex1acb3f4808

115079071752 has 36 divisors (see below), whose sum is σ = 311680282095. Its totient is φ = 38358731088.

The previous prime is 115079071729. The next prime is 115079071759. The reversal of 115079071752 is 257170970511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

115079071752 is a `hidden beast` number, since 1 + 1 + 507 + 9 + 0 + 71 + 75 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57539535876 + 57539535876 = 239874^2 + 239874^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=239874.

It is a junction number, because it is equal to n+sod(n) for n = 115079071698 and 115079071707.

It is not an unprimeable number, because it can be changed into a prime (115079071759) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2858499 + ... + 2898477.

Almost surely, 2115079071752 is an apocalyptic number.

115079071752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115079071752 is an abundant number, since it is smaller than the sum of its proper divisors (196601210343).

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

115079071752 is an frugal number, since it uses more digits than its factorization.

115079071752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79970 (or 39984 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 45.

The spelling of 115079071752 in words is "one hundred fifteen billion, seventy-nine million, seventy-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 39979 79958 119937 159916 239874 319832 359811 479748 719622 959496 1439244 2878488 1598320441 3196640882 4794961323 6393281764 9589922646 12786563528 14384883969 19179845292 28769767938 38359690584 57539535876 115079071752