Search a number
-
+
1200306738162 = 23761593790057
BaseRepresentation
bin10001011101110111110…
…110110101001111110010
311020202012102220000122010
4101131313312311033302
5124131212011110122
62315225135023350
7152501501635260
oct21356766651762
94222172800563
101200306738162
11423057953004
1217476436ab56
138925b00478c
1442149173430
1521351acae0c
hex11777db53f2

1200306738162 has 64 divisors (see below), whose sum is σ = 2793240578304. Its totient is φ = 336753469440.

The previous prime is 1200306738157. The next prime is 1200306738199. The reversal of 1200306738162 is 2618376030021.

It is a self number, because there is not a number n which added to its sum of digits gives 1200306738162.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124238 + ... + 1914294.

It is an arithmetic number, because the mean of its divisors is an integer number (43644384036).

Almost surely, 21200306738162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200306738162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396620289152).

1200306738162 is an abundant number, since it is smaller than the sum of its proper divisors (1592933840142).

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

1200306738162 is a wasteful number, since it uses less digits than its factorization.

1200306738162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790723.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 1200306738162 in words is "one trillion, two hundred billion, three hundred six million, seven hundred thirty-eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 593 854 1186 1281 1779 2562 3558 4151 8302 12453 24906 36173 72346 108519 217038 253211 506422 759633 790057 1519266 1580114 2370171 4740342 5530399 11060798 16591197 33182394 48193477 96386954 144580431 289160862 337354339 468503801 674708678 937007602 1012063017 1405511403 2024126034 2811022806 3279526607 6559053214 9838579821 19677159642 28578731861 57157463722 85736195583 171472391166 200051123027 400102246054 600153369081 1200306738162