Search a number
-
+
2647261056 = 273112921611
BaseRepresentation
bin1001110111001001…
…1111111110000000
320211111021210110210
42131302133332000
520410144323211
61114403554120
7122413230156
oct23562377600
96744253423
102647261056
111139345460
1261a68b940
133325ac77b
141b18253d6
151076189a6
hex9dc9ff80

2647261056 has 128 divisors (see below), whose sum is σ = 7935926400. Its totient is φ = 774502400.

The previous prime is 2647261033. The next prime is 2647261079. The reversal of 2647261056 is 6501627462.

It is an interprime number because it is at equal distance from previous prime (2647261033) and next prime (2647261079).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26472610562 = 14015982197228470272, which contains 22 as substring.

It is a congruent number.

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, 111691 + ... + 133301.

It is an arithmetic number, because the mean of its divisors is an integer number (61999425).

Almost surely, 22647261056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2647261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967963200).

2647261056 is an abundant number, since it is smaller than the sum of its proper divisors (5288665344).

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

2647261056 is a wasteful number, since it uses less digits than its factorization.

2647261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21668 (or 21656 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2647261056 is about 51451.5408515625. The cubic root of 2647261056 is about 1383.3505813046.

The spelling of 2647261056 in words is "two billion, six hundred forty-seven million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 264 319 348 352 384 464 528 638 696 704 928 957 1056 1276 1392 1408 1856 1914 2112 2552 2784 3712 3828 4224 5104 5568 7656 10208 11136 15312 20416 21611 30624 40832 43222 61248 64833 86444 122496 129666 172888 237721 259332 345776 475442 518664 626719 691552 713163 950884 1037328 1253438 1383104 1426326 1880157 1901768 2074656 2506876 2766208 2852652 3760314 3803536 4149312 5013752 5705304 6893909 7520628 7607072 8298624 10027504 11410608 13787818 15041256 15214144 20055008 20681727 22821216 27575636 30082512 30428288 40110016 41363454 45642432 55151272 60165024 80220032 82726908 91284864 110302544 120330048 165453816 220605088 240660096 330907632 441210176 661815264 882420352 1323630528 2647261056