Search a number
-
+
2641055664 = 2431331136531
BaseRepresentation
bin1001110101101011…
…0100111110110000
320211001121112021110
42131122310332300
520402102240124
61114022553320
7122306413512
oct23532647660
96731545243
102641055664
111135897235
12618598840
13331219140
141b0a8bbb2
15106ce0029
hex9d6b4fb0

2641055664 has 80 divisors (see below), whose sum is σ = 7584625664. Its totient is φ = 786412800.

The previous prime is 2641055653. The next prime is 2641055701. The reversal of 2641055664 is 4665501462.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48922 + ... + 87609.

Almost surely, 22641055664 is an apocalyptic number.

2641055664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2641055664 is an abundant number, since it is smaller than the sum of its proper divisors (4943570000).

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

2641055664 is a wasteful number, since it uses less digits than its factorization.

2641055664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136586 (or 136580 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2641055664 is about 51391.2022042684. The cubic root of 2641055664 is about 1382.2688407718.

The spelling of 2641055664 in words is "two billion, six hundred forty-one million, fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 136531 273062 409593 546124 819186 1092248 1638372 1774903 2184496 3276744 3549806 4232461 5324709 6553488 7099612 8464922 10649418 12697383 14199224 16929844 21298836 25394766 28398448 33859688 42597672 50789532 55021993 67719376 85195344 101579064 110043986 165065979 203158128 220087972 330131958 440175944 660263916 880351888 1320527832 2641055664