Search a number
-
+
51120207166185 = 335522774779689
BaseRepresentation
bin10111001111110010110011…
…10010011111101011101001
320201000001012010120102201000
423213321121302133223221
523200023141013304220
6300420144324345213
713524212250264453
oct1347713162375351
9221001163512630
1051120207166185
1115319a5a276123
125897531b45209
13226a7cba9bc01
14c8a3346c32d3
155d9b4964e390
hex2e7e59c9fae9

51120207166185 has 64 divisors (see below), whose sum is σ = 90919294790400. Its totient is φ = 27252435764736.

The previous prime is 51120207166181. The next prime is 51120207166219. The reversal of 51120207166185 is 58166170202115.

51120207166185 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 0 + 20 + 7 + 1 + 6 + 618 + 5 = 666.

It is not a de Polignac number, because 51120207166185 - 22 = 51120207166181 is a prime.

It is a super-2 number, since 2×511202071661852 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 51120207166185.

It is not an unprimeable number, because it can be changed into a prime (51120207166181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5276102821 + ... + 5276112509.

It is an arithmetic number, because the mean of its divisors is an integer number (1420613981100).

Almost surely, 251120207166185 is an apocalyptic number.

It is an amenable number.

51120207166185 is a deficient number, since it is larger than the sum of its proper divisors (39799087624215).

51120207166185 is a wasteful number, since it uses less digits than its factorization.

51120207166185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22407 (or 22401 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 51120207166185 in words is "fifty-one trillion, one hundred twenty billion, two hundred seven million, one hundred sixty-six thousand, one hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 5227 7477 9689 15681 22431 26135 29067 37385 47043 48445 67293 78405 87201 112155 141129 145335 201879 235215 261603 336465 436005 705645 1009395 1308015 39082279 50644403 72444653 117246837 151933209 195411395 217333959 253222015 351740511 362223265 455799627 586234185 652001877 759666045 1055221533 1086669795 1367398881 1758702555 1956005631 2278998135 3260009385 5276107665 6836994405 9780028155 378668201231 1136004603693 1893341006155 3408013811079 5680023018465 10224041433237 17040069055395 51120207166185