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2150976645 = 325415321997
BaseRepresentation
bin1000000000110101…
…0100110010000101
312112220102221020200
42000031110302011
513401122223040
6553234521113
7104205666636
oct20015246205
95486387220
102150976645
11a04196654
12500436199
1328382895c
1416595988d
15c8c86630
hex80354c85

2150976645 has 48 divisors (see below), whose sum is σ = 3891534192. Its totient is φ = 1098040320.

The previous prime is 2150976637. The next prime is 2150976647. The reversal of 2150976645 is 5466790512.

It can be written as a sum of positive squares in 8 ways, for example, as 55442916 + 2095533729 = 7446^2 + 45777^2 .

It is not a de Polignac number, because 2150976645 - 23 = 2150976637 is a prime.

It is a super-3 number, since 3×21509766453 (a number of 29 digits) contains 333 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 2150976645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150976647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86787 + ... + 108783.

It is an arithmetic number, because the mean of its divisors is an integer number (81073629).

Almost surely, 22150976645 is an apocalyptic number.

It is an amenable number.

2150976645 is a deficient number, since it is larger than the sum of its proper divisors (1740557547).

2150976645 is a wasteful number, since it uses less digits than its factorization.

2150976645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22102 (or 22099 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2150976645 is about 46378.6227156435. The cubic root of 2150976645 is about 1290.8582804620.

The spelling of 2150976645 in words is "two billion, one hundred fifty million, nine hundred seventy-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 41 45 53 123 159 205 265 369 477 615 795 1845 2173 2385 6519 10865 19557 21997 32595 65991 97785 109985 197973 329955 901877 989865 1165841 2705631 3497523 4509385 5829205 8116893 10492569 13528155 17487615 40584465 47799481 52462845 143398443 238997405 430195329 716992215 2150976645