Search a number
-
+
56302551630 = 23451322323977
BaseRepresentation
bin110100011011111001…
…001100001001001110
312101022211011222010000
4310123321030021032
51410301423123010
641510503025130
74032141535563
oct643371141116
9171284158100
1056302551630
1121972360406
12aab373b1a6
13540371ab10
142a217b886a
1516e7d427c0
hexd1be4c24e

56302551630 has 160 divisors (see below), whose sum is σ = 163774727424. Its totient is φ = 13796365824.

The previous prime is 56302551623. The next prime is 56302551631. The reversal of 56302551630 is 3615520365.

56302551630 is a `hidden beast` number, since 5 + 630 + 2 + 5 + 5 + 16 + 3 + 0 = 666.

56302551630 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 (56302551631) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2336202 + ... + 2360178.

Almost surely, 256302551630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56302551630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81887363712).

56302551630 is an abundant number, since it is smaller than the sum of its proper divisors (107472175794).

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

56302551630 is a wasteful number, since it uses less digits than its factorization.

56302551630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24232 (or 24223 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 56302551630 in words is "fifty-six billion, three hundred two million, five hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 223 234 270 351 390 405 446 585 669 702 810 1053 1115 1170 1338 1755 2007 2106 2230 2899 3345 3510 4014 5265 5798 6021 6690 8697 10035 10530 12042 14495 17394 18063 20070 23977 26091 28990 30105 36126 43485 47954 52182 60210 71931 78273 86970 90315 119885 130455 143862 156546 180630 215793 234819 239770 260910 311701 359655 391365 431586 469638 623402 647379 719310 782730 935103 1078965 1174095 1294758 1558505 1870206 1942137 2157930 2348190 2805309 3117010 3236895 3884274 4675515 5346871 5610618 6473790 8415927 9351030 9710685 10693742 14026545 16040613 16831854 19421370 25247781 26734355 28053090 32081226 42079635 48121839 50495562 53468710 69509323 80203065 84159270 96243678 126238905 139018646 144365517 160406130 208527969 240609195 252477810 288731034 347546615 417055938 433096551 481218390 625583907 695093230 721827585 866193102 1042639845 1251167814 1443655170 1876751721 2085279690 2165482755 3127919535 3753503442 4330965510 5630255163 6255839070 9383758605 11260510326 18767517210 28151275815 56302551630