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214283854176 = 25372313864121
BaseRepresentation
bin1100011110010001010…
…0000010000101100000
3202111002210212122210120
43013210110002011200
512002323131313201
6242235102400240
721324103464510
oct3074424020540
9674083778716
10214283854176
1182971716267
1235643290080
131728c694ab2
14a52b167840
155892477536
hex31e4502160

214283854176 has 96 divisors (see below), whose sum is σ = 670801678848. Its totient is φ = 58562042880.

The previous prime is 214283854097. The next prime is 214283854177. The reversal of 214283854176 is 671458382412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214283854177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6916605 + ... + 6947516.

It is an arithmetic number, because the mean of its divisors is an integer number (6987517488).

Almost surely, 2214283854176 is an apocalyptic number.

It is an amenable number.

214283854176 is an abundant number, since it is smaller than the sum of its proper divisors (456517824672).

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

214283854176 is a wasteful number, since it uses less digits than its factorization.

214283854176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864164 (or 13864156 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 214283854176 in words is "two hundred fourteen billion, two hundred eighty-three million, eight hundred fifty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 13864121 27728242 41592363 55456484 83184726 97048847 110912968 166369452 194097694 221825936 291146541 318874783 332738904 388195388 443651872 582293082 637749566 665477808 776390776 956624349 1164586164 1275499132 1330955616 1552781552 1913248698 2232123481 2329172328 2550998264 3105563104 3826497396 4464246962 4658344656 5101996528 6696370443 7652994792 8928493924 9316689312 10203993056 13392740886 15305989584 17856987848 26785481772 30611979168 35713975696 53570963544 71427951392 107141927088 214283854176