Search a number
-
+
2641013368 = 237216341333
BaseRepresentation
bin1001110101101010…
…1010101001111000
320211001112101020221
42131122222221320
520402044411433
61114022025424
7122306146300
oct23532525170
96731471227
102641013368
111135868484
12618578274
13331202b06
141b0a7a600
15106cd272d
hex9d6aaa78

2641013368 has 48 divisors (see below), whose sum is σ = 5795853480. Its totient is φ = 1124891712.

The previous prime is 2641013363. The next prime is 2641013369. The reversal of 2641013368 is 8633101462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641013363) 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 11 ways as a sum of consecutive naturals, for example, 43230 + ... + 84562.

Almost surely, 22641013368 is an apocalyptic number.

2641013368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2641013368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897926740).

2641013368 is an abundant number, since it is smaller than the sum of its proper divisors (3154840112).

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

2641013368 is a wasteful number, since it uses less digits than its factorization.

2641013368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41516 (or 41505 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2641013368 is about 51390.7906924966. The cubic root of 2641013368 is about 1382.2614618090.

The spelling of 2641013368 in words is "two billion, six hundred forty-one million, thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 163 196 326 392 652 1141 1304 2282 4564 7987 9128 15974 31948 41333 63896 82666 165332 289331 330664 578662 1157324 2025317 2314648 4050634 6737279 8101268 13474558 16202536 26949116 47160953 53898232 94321906 188643812 330126671 377287624 660253342 1320506684 2641013368