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5656889680 = 2451322811489
BaseRepresentation
bin1010100010010110…
…10100100101010000
3112121020102202210121
411101023110211100
543041130432210
62333154440024
7260116524511
oct52113244520
915536382717
105656889680
112443191a42
12111a593014
136c1c85800
143b9416a08
152319606da
hex1512d4950

5656889680 has 120 divisors (see below), whose sum is σ = 14302086840. Its totient is φ = 2079866880.

The previous prime is 5656889657. The next prime is 5656889681. The reversal of 5656889680 is 869886565.

It can be written as a sum of positive squares in 12 ways, for example, as 3562179856 + 2094709824 = 59684^2 + 45768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656889681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3798376 + ... + 3799864.

It is an arithmetic number, because the mean of its divisors is an integer number (119184057).

Almost surely, 25656889680 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 5656889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151043420).

5656889680 is an abundant number, since it is smaller than the sum of its proper divisors (8645197160).

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

5656889680 is a wasteful number, since it uses less digits than its factorization.

5656889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 61.

The square root of 5656889680 is about 75212.2973987632. The cubic root of 5656889680 is about 1781.8011562431.

The spelling of 5656889680 in words is "five billion, six hundred fifty-six million, eight hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 281 338 520 562 676 845 1040 1124 1352 1405 1489 1690 2248 2704 2810 2978 3380 3653 4496 5620 5956 6760 7306 7445 11240 11912 13520 14612 14890 18265 19357 22480 23824 29224 29780 36530 38714 47489 58448 59560 73060 77428 94978 96785 119120 146120 154856 189956 193570 237445 251641 292240 309712 379912 387140 418409 474890 503282 759824 774280 836818 949780 1006564 1258205 1548560 1673636 1899560 2013128 2092045 2516410 3347272 3799120 4026256 4184090 5032820 5439317 6694544 8368180 10065640 10878634 16736360 20131280 21757268 27196585 33472720 43514536 54393170 70711121 87029072 108786340 141422242 217572680 282844484 353555605 435145360 565688968 707111210 1131377936 1414222420 2828444840 5656889680