Search a number
-
+
2656161630 = 2325411017127
BaseRepresentation
bin1001111001010001…
…1100111101011110
320212010000222202200
42132110130331132
520414434133010
61115322432330
7122552000313
oct23624347536
96763028680
102656161630
111143374601
126216626a6
133343a7a95
141b2aa0d0a
151082c5cc0
hex9e51cf5e

2656161630 has 96 divisors (see below), whose sum is σ = 7145506368. Its totient is φ = 684096000.

The previous prime is 2656161559. The next prime is 2656161637. The reversal of 2656161630 is 361616562.

2656161630 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 1 + 616 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656161637) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 369127 + ... + 376253.

It is an arithmetic number, because the mean of its divisors is an integer number (74432358).

Almost surely, 22656161630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656161630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572753184).

2656161630 is an abundant number, since it is smaller than the sum of its proper divisors (4489344738).

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

2656161630 is a wasteful number, since it uses less digits than its factorization.

2656161630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2656161630 is about 51537.9629981628. The cubic root of 2656161630 is about 1384.8992059132.

The spelling of 2656161630 in words is "two billion, six hundred fifty-six million, one hundred sixty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 101 123 202 205 246 303 369 410 505 606 615 738 909 1010 1230 1515 1818 1845 3030 3690 4141 4545 7127 8282 9090 12423 14254 20705 21381 24846 35635 37269 41410 42762 62115 64143 71270 74538 106905 124230 128286 186345 213810 292207 320715 372690 584414 641430 719827 876621 1439654 1461035 1753242 2159481 2629863 2922070 3599135 4318962 4383105 5259726 6478443 7198270 8766210 10797405 12956886 13149315 21594810 26298630 29512907 32392215 59025814 64784430 88538721 147564535 177077442 265616163 295129070 442693605 531232326 885387210 1328080815 2656161630