Search a number
-
+
130545597536532 = 223216633218016389
BaseRepresentation
bin11101101011101100000011…
…111101111101100100010100
3122010020001000011000212002200
4131223230003331331210110
5114102324340432132112
61141351453010404500
736332415414225333
oct3553540375754424
9563201004025080
10130545597536532
1138661093546812
1212784740590730
1357ac5213595b9
142434625155d1a
151015bcd2eccdc
hex76bb03f7d914

130545597536532 has 36 divisors (see below), whose sum is σ = 330010101444660. Its totient is φ = 43512582782592.

The previous prime is 130545597536531. The next prime is 130545597536537. The reversal of 130545597536532 is 235635795545031.

130545597536532 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 4 + 5 + 5 + 97 + 5 + 3 + 6 + 532 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55094901688836 + 75450695847696 = 7422594^2 + 8686236^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 130545597536532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130545597536531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108409407 + ... + 109606982.

Almost surely, 2130545597536532 is an apocalyptic number.

130545597536532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130545597536532 is an abundant number, since it is smaller than the sum of its proper divisors (199464503908128).

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

130545597536532 is a wasteful number, since it uses less digits than its factorization.

130545597536532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218033032 (or 218033027 counting only the distinct ones).

The product of its (nonzero) digits is 255150000, while the sum is 63.

The spelling of 130545597536532 in words is "one hundred thirty trillion, five hundred forty-five billion, five hundred ninety-seven million, five hundred thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 16633 33266 49899 66532 99798 149697 199596 299394 598788 218016389 436032778 654049167 872065556 1308098334 1962147501 2616196668 3924295002 7848590004 3626266598237 7252533196474 10878799794711 14505066392948 21757599589422 32636399384133 43515199178844 65272798768266 130545597536532