Search a number
-
+
12626304030030 = 23519531992100257
BaseRepresentation
bin1011011110111100101001…
…0111011101010101001110
31122201001200211121100000010
42313233022113131111032
53123332132312430110
642504235523014050
72442135404305515
oct267571227352516
948631624540003
1012626304030030
114028870504499
1214bb08b80a326
13707869a9c9b2
1431918b49967c
1516d68c19a020
hexb7bca5dd54e

12626304030030 has 128 divisors (see below), whose sum is σ = 32663212416000. Its totient is φ = 3113889951744.

The previous prime is 12626304030029. The next prime is 12626304030037. The reversal of 12626304030030 is 3003040362621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12626304030030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12626304030037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4961662 + ... + 7061918.

It is an arithmetic number, because the mean of its divisors is an integer number (255181347000).

Almost surely, 212626304030030 is an apocalyptic number.

12626304030030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12626304030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331606208000).

12626304030030 is an abundant number, since it is smaller than the sum of its proper divisors (20036908385970).

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

12626304030030 is a wasteful number, since it uses less digits than its factorization.

12626304030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100538.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 12626304030030 its reverse (3003040362621), we get a palindrome (15629344392651).

The spelling of 12626304030030 in words is "twelve trillion, six hundred twenty-six billion, three hundred four million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 199 265 285 318 398 530 570 597 795 995 1007 1194 1590 1990 2014 2985 3021 3781 5035 5970 6042 7562 10070 10547 11343 15105 18905 21094 22686 30210 31641 37810 52735 56715 63282 105470 113430 158205 200393 316410 400786 601179 1001965 1202358 2003930 2100257 3005895 4200514 6011790 6300771 10501285 12601542 21002570 31503855 39904883 63007710 79809766 111313621 119714649 199524415 222627242 239429298 333940863 399048830 417951143 556568105 598573245 667881726 835902286 1113136210 1197146490 1253853429 1669704315 2089755715 2114958799 2507706858 3339408630 4179511430 4229917598 6269267145 6344876397 7941071717 10574793995 12538534290 12689752794 15882143434 21149587990 22151410579 23823215151 31724381985 39705358585 44302821158 47646430302 63448763970 66454231737 79410717170 110757052895 119116075755 132908463474 221514105790 238232151510 332271158685 420876801001 664542317370 841753602002 1262630403003 2104384005005 2525260806006 4208768010010 6313152015015 12626304030030