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2214664543416 = 2331341859201547
BaseRepresentation
bin100000001110100100010…
…010110001110010111000
321211201102210001112020010
4200032210102301302320
5242241113110342131
64413223003101520
7316001311005663
oct40164422616270
97751383045203
102214664543416
11784263442556
122b92728118a0
13130ac3a68c70
14792943d26da
153c91daa1b46
hex203a44b1cb8

2214664543416 has 128 divisors (see below), whose sum is σ = 6115127558400. Its totient is φ = 664037637120.

The previous prime is 2214664543387. The next prime is 2214664543523. The reversal of 2214664543416 is 6143454664122.

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, 10887555 + ... + 11089101.

It is an arithmetic number, because the mean of its divisors is an integer number (47774434050).

Almost surely, 22214664543416 is an apocalyptic number.

2214664543416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214664543416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057563779200).

2214664543416 is an abundant number, since it is smaller than the sum of its proper divisors (3900463014984).

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

2214664543416 is a wasteful number, since it uses less digits than its factorization.

2214664543416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202469 (or 202465 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 2214664543416 in words is "two trillion, two hundred fourteen billion, six hundred sixty-four million, five hundred forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 859 984 1066 1599 1718 2132 2577 3198 3436 4264 5154 6396 6872 10308 11167 12792 20616 22334 33501 35219 44668 67002 70438 89336 105657 134004 140876 201547 211314 268008 281752 403094 422628 457847 604641 806188 845256 915694 1209282 1373541 1612376 1831388 2418564 2620111 2747082 3662776 4837128 5240222 5494164 7860333 8263427 10480444 10988328 15720666 16526854 20960888 24790281 31441332 33053708 49580562 62882664 66107416 99161124 107424551 173128873 198322248 214849102 322273653 346257746 429698204 519386619 644547306 692515492 859396408 1038773238 1289094612 1385030984 2077546476 2250675349 2578189224 4155092952 4501350698 6752026047 7098283793 9002701396 13504052094 14196567586 18005402792 21294851379 27008104188 28393135172 42589702758 54016208376 56786270344 85179405516 92277689309 170358811032 184555378618 276833067927 369110757236 553666135854 738221514472 1107332271708 2214664543416