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21306551273604 = 2234101225392
BaseRepresentation
bin1001101100000110100010…
…11010111000100010000100
32210102212221012012010210000
410312003101122320202010
510243041304111223404
6113152032230201300
74326230126426322
oct466032132704204
983385835163700
1021306551273604
11687506a808033
122481428ab3230
13bb727874201c
14539357916d12
1526e373ed9339
hex1360d16b8884

21306551273604 has 135 divisors (see below), whose sum is σ = 56278640134101. Its totient is φ = 7029095565600.

The previous prime is 21306551273597. The next prime is 21306551273627. The reversal of 21306551273604 is 40637215560312.

The square root of 21306551273604 is 4615902.

It is a perfect power (a square), and thus also a powerful number.

21306551273604 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 5 + 512 + 73 + 60 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20471082152004 + 835469121600 = 4524498^2 + 914040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21306551273604.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8391708567 + ... + 8391711105.

Almost surely, 221306551273604 is an apocalyptic number.

21306551273604 is the 4615902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21306551273604

21306551273604 is an abundant number, since it is smaller than the sum of its proper divisors (34972088860497).

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

21306551273604 is an frugal number, since it uses more digits than its factorization.

21306551273604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 21306551273604 in words is "twenty-one trillion, three hundred six billion, five hundred fifty-one million, two hundred seventy-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2539 2727 3636 5078 5454 7617 8181 10156 10201 10908 15234 16362 20402 22851 30468 30603 32724 40804 45702 61206 68553 91404 91809 122412 137106 183618 205659 256439 274212 275427 367236 411318 512878 550854 769317 822636 826281 1025756 1101708 1538634 1652562 2307951 3077268 3305124 4615902 6446521 6923853 9231804 12893042 13847706 19339563 20771559 25786084 25900339 27695412 38679126 41543118 51800678 58018689 77358252 77701017 83086236 103601356 116037378 155402034 174056067 232074756 233103051 310804068 348112134 466206102 522168201 651098621 696224268 699309153 932412204 1044336402 1302197242 1398618306 1953295863 2088672804 2097927459 2604394484 2797236612 3906591726 4195854918 5859887589 7813183452 8391709836 11719775178 17579662767 23439550356 35159325534 52738988301 65760960721 70318651068 105477976602 131521921442 197282882163 210955953204 263043842884 394565764326 591848646489 789131528652 1183697292978 1775545939467 2367394585956 3551091878934 5326637818401 7102183757868 10653275636802 21306551273604