Search a number
-
+
45112061777 = 7310135317333
BaseRepresentation
bin101010000000111000…
…110110111101010001
311022102221022011220212
4222000320312331101
51214342141434102
632420232013505
73154630124666
oct520070667521
9138387264825
1045112061777
111814a645792
1288abb31295
13433c1b8aa3
14227d4bda6d
1512906c6c52
hexa80e36f51

45112061777 has 16 divisors (see below), whose sum is σ = 46316309328. Its totient is φ = 43926220800.

The previous prime is 45112061717. The next prime is 45112061783. The reversal of 45112061777 is 77716021154.

It can be written as a sum of positive squares in 8 ways, for example, as 961 + 45112060816 = 31^2 + 212396^2 .

It is a cyclic number.

It is not a de Polignac number, because 45112061777 - 212 = 45112057681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45112061717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2594003 + ... + 2611335.

It is an arithmetic number, because the mean of its divisors is an integer number (2894769333).

Almost surely, 245112061777 is an apocalyptic number.

It is an amenable number.

45112061777 is a deficient number, since it is larger than the sum of its proper divisors (1204247551).

45112061777 is a wasteful number, since it uses less digits than its factorization.

45112061777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17860.

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 45112061777 in words is "forty-five billion, one hundred twelve million, sixty-one thousand, seven hundred seventy-seven".

Divisors: 1 73 101 353 7373 17333 25769 35653 1265309 1750633 2602669 6118549 127796209 446654077 617973449 45112061777