Search a number
-
+
972770427252 = 2232132078569289
BaseRepresentation
bin11100010011111011010…
…00101100000101110100
310102222220001011210211200
432021331220230011310
5111414213212133002
62022515022132500
7130165105126401
oct16117550540564
93388801153750
10972770427252
11345605600968
12138642a21130
1370968b78310
1435121d252a8
151a485e84b1c
hexe27da2c174

972770427252 has 36 divisors (see below), whose sum is σ = 2648097275460. Its totient is φ = 299313977472.

The previous prime is 972770427247. The next prime is 972770427253. The reversal of 972770427252 is 252724077279.

972770427252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150727191696 + 822043235556 = 388236^2 + 906666^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972770427253) 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, 1039284177 + ... + 1039285112.

Almost surely, 2972770427252 is an apocalyptic number.

It is an amenable number.

972770427252 is an abundant number, since it is smaller than the sum of its proper divisors (1675326848208).

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

972770427252 is a wasteful number, since it uses less digits than its factorization.

972770427252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078569312 (or 2078569307 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 972770427252 in words is "nine hundred seventy-two billion, seven hundred seventy million, four hundred twenty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2078569289 4157138578 6235707867 8314277156 12471415734 18707123601 24942831468 27021400757 37414247202 54042801514 74828494404 81064202271 108085603028 162128404542 243192606813 324256809084 486385213626 972770427252