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2661558256 = 247711971699
BaseRepresentation
bin1001111010100100…
…0010011111110000
320212111012011112201
42132221002133300
520422324331011
61120034232544
7122645605030
oct23651023760
96774164481
102661558256
111146420125
12623425754
13335547256
141b36a78c0
151089decc1
hex9ea427f0

2661558256 has 80 divisors (see below), whose sum is σ = 6010329600. Its totient is φ = 1118234880.

The previous prime is 2661558203. The next prime is 2661558257. The reversal of 2661558256 is 6528551662.

2661558256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661558257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1565695 + ... + 1567393.

It is an arithmetic number, because the mean of its divisors is an integer number (75129120).

Almost surely, 22661558256 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 2661558256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005164800).

2661558256 is an abundant number, since it is smaller than the sum of its proper divisors (3348771344).

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

2661558256 is a wasteful number, since it uses less digits than its factorization.

2661558256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1976 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The square root of 2661558256 is about 51590.2922651151. The cubic root of 2661558256 is about 1385.8364891332.

The spelling of 2661558256 in words is "two billion, six hundred sixty-one million, five hundred fifty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 197 284 394 497 568 788 994 1136 1379 1576 1699 1988 2758 3152 3398 3976 5516 6796 7952 11032 11893 13592 13987 22064 23786 27184 27974 47572 55948 95144 97909 111896 120629 190288 195818 223792 241258 334703 391636 482516 669406 783272 844403 965032 1338812 1566544 1688806 1930064 2342921 2677624 3377612 4685842 5355248 6755224 9371684 13510448 18743368 23763913 37486736 47527826 95055652 166347391 190111304 332694782 380222608 665389564 1330779128 2661558256