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21810806712 = 23332326316693
BaseRepresentation
bin10100010100000001…
…100111111110111000
32002022000212210002000
4110110001213332320
5324132031303322
614004133141000
71401330540522
oct242401477670
962260783060
1021810806712
1192826a49a2
12428848a760
1320978ac7b6
1410ac9b2a12
15879c0b3ac
hex514067fb8

21810806712 has 128 divisors (see below), whose sum is σ = 63463910400. Its totient is φ = 6927313536.

The previous prime is 21810806683. The next prime is 21810806737. The reversal of 21810806712 is 21760801812.

It is a super-2 number, since 2×218108067122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298238 + ... + 1314930.

It is an arithmetic number, because the mean of its divisors is an integer number (495811800).

Almost surely, 221810806712 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 21810806712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31731955200).

21810806712 is an abundant number, since it is smaller than the sum of its proper divisors (41653103688).

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

21810806712 is a wasteful number, since it uses less digits than its factorization.

21810806712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16994 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 21810806712 in words is "twenty-one billion, eight hundred ten million, eight hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 263 276 414 526 552 621 789 828 1052 1242 1578 1656 2104 2367 2484 3156 4734 4968 6049 6312 7101 9468 12098 14202 16693 18147 18936 24196 28404 33386 36294 48392 50079 54441 56808 66772 72588 100158 108882 133544 145176 150237 163323 200316 217764 300474 326646 383939 400632 435528 450711 600948 653292 767878 901422 1151817 1201896 1306584 1535756 1802844 2303634 3071512 3455451 3605688 4390259 4607268 6910902 8780518 9214536 10366353 13170777 13821804 17561036 20732706 26341554 27643608 35122072 39512331 41465412 52683108 79024662 82930824 100975957 105366216 118536993 158049324 201951914 237073986 302927871 316098648 403903828 474147972 605855742 807807656 908783613 948295944 1211711484 1817567226 2423422968 2726350839 3635134452 5452701678 7270268904 10905403356 21810806712