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213083652627412 = 22725940074598569
BaseRepresentation
bin110000011100110001100111…
…011011000001101111010100
31000221110121011010022100200121
4300130301213123001233110
5210412130310033034122
62033105140104121324
762611533360562300
oct6034614733015724
91027417133270617
10213083652627412
11619932a6913166
121ba95058166244
1391b8918a274a8
143a89437952d00
151997bdc6eebc7
hexc1cc676c1bd4

213083652627412 has 72 divisors (see below), whose sum is σ = 441239781326400. Its totient is φ = 89751318523776.

The previous prime is 213083652627403. The next prime is 213083652627421. The reversal of 213083652627412 is 214726256380312.

It is a happy number.

213083652627412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213083652627403) and next prime (213083652627421).

It is a self number, because there is not a number n which added to its sum of digits gives 213083652627412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44037664 + ... + 48636232.

It is an arithmetic number, because the mean of its divisors is an integer number (6128330296200).

Almost surely, 2213083652627412 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 213083652627412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220619890663200).

213083652627412 is an abundant number, since it is smaller than the sum of its proper divisors (228156128698988).

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

213083652627412 is a wasteful number, since it uses less digits than its factorization.

213083652627412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602653 (or 4602644 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 213083652627412 in words is "two hundred thirteen trillion, eighty-three billion, six hundred fifty-two million, six hundred twenty-seven thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 826 1652 2891 4007 5782 8014 11564 16028 28049 56098 112196 196343 236413 392686 472826 785372 945652 1654891 3309782 4598569 6619564 9197138 11584237 18394276 23168474 32189983 46336948 64379966 128759932 225329881 271315571 450659762 542631142 901319524 1085262284 1899208997 3798417994 7596835988 13294462979 18426465983 26588925958 36852931966 53177851916 73705863932 128985261881 257970523762 515941047524 902896833167 1087161492997 1805793666334 2174322985994 3611587332668 4348645971988 7610130450979 15220260901958 30440521803916 53270913156853 106541826313706 213083652627412