Search a number
-
+
116101620577656 = 23327230360358289
BaseRepresentation
bin11010011001100000000011…
…110110100011010101111000
3120020002012120120010112212200
4122121200003312203111320
5110204202104331441111
61050532203112310200
733312031250632530
oct3231400366432570
9506065516115780
10116101620577656
1133aa246a06471a
12110313319a2360
134ca2449acca7c
1420954c40c04c0
15d65109ceb256
hex699803da3578

116101620577656 has 48 divisors (see below), whose sum is σ = 359362158932400. Its totient is φ = 33171891593472.

The previous prime is 116101620577639. The next prime is 116101620577667. The reversal of 116101620577656 is 656775026101611.

116101620577656 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 1 + 6 + 2 + 0 + 577 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115180178641 + ... + 115180179648.

It is an arithmetic number, because the mean of its divisors is an integer number (7486711644425).

Almost surely, 2116101620577656 is an apocalyptic number.

It is an amenable number.

116101620577656 is an abundant number, since it is smaller than the sum of its proper divisors (243260538354744).

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

116101620577656 is a wasteful number, since it uses less digits than its factorization.

116101620577656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230360358308 (or 230360358301 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 116101620577656 in words is "one hundred sixteen trillion, one hundred one billion, six hundred twenty million, five hundred seventy-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 230360358289 460720716578 691081074867 921441433156 1382162149734 1612522508023 1842882866312 2073243224601 2764324299468 3225045016046 4146486449202 4837567524069 5528648598936 6450090032092 8292972898404 9675135048138 12900180064184 14512702572207 16585945796808 19350270096276 29025405144414 38700540192552 58050810288828 116101620577656