Search a number
-
+
56560035378 = 237114117231733
BaseRepresentation
bin110100101011001111…
…011010011000110010
312101222202200111102010
4310223033122120302
51411313332113003
641552221503350
74041416240220
oct645317323062
9171882614363
1056560035378
1121a947357a0
12ab65a11b56
135444b80972
142a47a81b10
151710754003
hexd2b3da632

56560035378 has 128 divisors (see below), whose sum is σ = 144639903744. Its totient is φ = 14316019200.

The previous prime is 56560035377. The next prime is 56560035383. The reversal of 56560035378 is 87353006565.

It is a super-3 number, since 3×565600353783 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (56560035377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32636200 + ... + 32637932.

It is an arithmetic number, because the mean of its divisors is an integer number (1129999248).

Almost surely, 256560035378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56560035378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72319951872).

56560035378 is an abundant number, since it is smaller than the sum of its proper divisors (88079868366).

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

56560035378 is a wasteful number, since it uses less digits than its factorization.

56560035378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520.

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 56560035378 in words is "fifty-six billion, five hundred sixty million, thirty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 66 77 82 123 154 231 246 287 451 462 574 861 902 1353 1722 1723 1733 2706 3157 3446 3466 5169 5199 6314 9471 10338 10398 12061 12131 18942 18953 19063 24122 24262 36183 36393 37906 38126 56859 57189 70643 71053 72366 72786 113718 114378 132671 133441 141286 142106 211929 213159 265342 266882 398013 400323 423858 426318 494501 497371 777073 781583 796026 800646 989002 994742 1483503 1492113 1554146 1563166 2331219 2344749 2967006 2984226 2985959 4662438 4689498 5439511 5471081 5971918 8957877 10879022 10942162 16318533 16413243 17915754 20901713 32637066 32826486 32845549 41803426 62705139 65691098 98536647 122424319 125410278 197073294 229918843 244848638 367272957 459837686 689756529 734545914 856970233 1346667509 1379513058 1713940466 2570910699 2693335018 4040002527 5141821398 8080005054 9426672563 18853345126 28280017689 56560035378