Search a number
-
+
5608955589888 = 28378091289657
BaseRepresentation
bin101000110011110111111…
…0011100011010100000000
3201212012200202111021200210
41101213233303203110000
51213344120112334023
615532415120114120
71116143101604520
oct121475763432400
921765622437623
105608955589888
111872821229312
12767077a65940
13318bcb222a91
141556911a1680
159ad7d8e7593
hex519efce3500

5608955589888 has 144 divisors (see below), whose sum is σ = 17081674968960. Its totient is φ = 1600576585728.

The previous prime is 5608955589883. The next prime is 5608955589901. The reversal of 5608955589888 is 8889855598065.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 5608955589888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5608955589883) 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, 3704356 + ... + 4994012.

It is an arithmetic number, because the mean of its divisors is an integer number (118622742840).

Almost surely, 25608955589888 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 5608955589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540837484480).

5608955589888 is an abundant number, since it is smaller than the sum of its proper divisors (11472719379072).

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

5608955589888 is a wasteful number, since it uses less digits than its factorization.

5608955589888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290492 (or 1290478 counting only the distinct ones).

The product of its (nonzero) digits is 9953280000, while the sum is 84.

The spelling of 5608955589888 in words is "five trillion, six hundred eight billion, nine hundred fifty-five million, five hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 809 896 1344 1618 1792 2427 2688 3236 4854 5376 5663 6472 9708 11326 12944 16989 19416 22652 25888 33978 38832 45304 51776 67956 77664 90608 103552 135912 155328 181216 207104 271824 310656 362432 543648 621312 724864 1087296 1289657 1449728 2174592 2579314 3868971 4349184 5158628 7737942 9027599 10317256 15475884 18055198 20634512 27082797 30951768 36110396 41269024 54165594 61903536 72220792 82538048 108331188 123807072 144441584 165076096 216662376 247614144 288883168 330152192 433324752 495228288 577766336 866649504 990456576 1043332513 1155532672 1733299008 2086665026 2311065344 3129997539 3466598016 4173330052 6259995078 6933196032 7303327591 8346660104 12519990156 14606655182 16693320208 21909982773 25039980312 29213310364 33386640416 43819965546 50079960624 58426620728 66773280832 87639931092 100159921248 116853241456 133546561664 175279862184 200319842496 233706482912 267093123328 350559724368 400639684992 467412965824 701119448736 801279369984 934825931648 1402238897472 1869651863296 2804477794944 5608955589888