Search a number
-
+
44961052225 = 527361739929
BaseRepresentation
bin101001110111111000…
…110011011001000001
311022001102011002202111
4221313320303121001
51214040012132400
632353235215321
73151114431625
oct516770633101
9138042132674
1044961052225
1118082384001
128869447541
134316b2551b
142267411185
1512822e83ba
hexa77e33641

44961052225 has 24 divisors (see below), whose sum is σ = 56608441560. Its totient is φ = 35417733120.

The previous prime is 44961052217. The next prime is 44961052259. The reversal of 44961052225 is 52225016944.

It can be written as a sum of positive squares in 12 ways, for example, as 29290268736 + 15670783489 = 171144^2 + 125183^2 .

It is not a de Polignac number, because 44961052225 - 23 = 44961052217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106061 + ... + 1145989.

It is an arithmetic number, because the mean of its divisors is an integer number (2358685065).

Almost surely, 244961052225 is an apocalyptic number.

It is an amenable number.

44961052225 is a deficient number, since it is larger than the sum of its proper divisors (11647389335).

44961052225 is a wasteful number, since it uses less digits than its factorization.

44961052225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40629 (or 40624 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 44961052225 in words is "forty-four billion, nine hundred sixty-one million, fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 73 365 617 1825 3085 15425 39929 45041 199645 225205 998225 1126025 2914817 14574085 24636193 72870425 123180965 615904825 1798442089 8992210445 44961052225