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115479282752 = 2637414725307
BaseRepresentation
bin110101110001100011…
…0100000010001000000
3102001001221122101021022
41223203012200101000
53343000144022002
6125014521445012
711225453464511
oct1534306402100
9361057571238
10115479282752
1144a7a054369
121a469940768
13ab74738b52
145836ba6a08
15300d173ba2
hex1ae31a0440

115479282752 has 112 divisors (see below), whose sum is σ = 246226998528. Its totient is φ = 53640622080.

The previous prime is 115479282701. The next prime is 115479282797. The reversal of 115479282752 is 257282974511.

115479282752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 115479282694 and 115479282703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4550483 + ... + 4575789.

It is an arithmetic number, because the mean of its divisors is an integer number (2198455344).

Almost surely, 2115479282752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115479282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123113499264).

115479282752 is an abundant number, since it is smaller than the sum of its proper divisors (130747715776).

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

115479282752 is a wasteful number, since it uses less digits than its factorization.

115479282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25444 (or 25434 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 53.

The spelling of 115479282752 in words is "one hundred fifteen billion, four hundred seventy-nine million, two hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 41 47 64 74 82 94 148 164 188 296 328 376 592 656 752 1184 1312 1504 1517 1739 1927 2368 2624 3008 3034 3478 3854 6068 6956 7708 12136 13912 15416 24272 25307 27824 30832 48544 50614 55648 61664 71299 97088 101228 111296 123328 142598 202456 285196 404912 570392 809824 936359 1037587 1140784 1189429 1619648 1872718 2075174 2281568 2378858 3745436 4150348 4563136 4757716 7490872 8300696 9515432 14981744 16601392 19030864 29963488 33202784 38061728 38390719 44008873 48766589 59926976 66405568 76123456 76781438 88017746 97533178 153562876 176035492 195066356 307125752 352070984 390132712 614251504 704141968 780265424 1228503008 1408283936 1560530848 1804363793 2457006016 2816567872 3121061696 3608727586 7217455172 14434910344 28869820688 57739641376 115479282752