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213200600688 = 2433835946023
BaseRepresentation
bin1100011010001110111…
…1101111111001110000
3202101022022112200101000
43012203233233321300
511443113323210223
6241535404442000
721255211130205
oct3064357577160
9671268480330
10213200600688
11824661a9949
12353a0549300
13171491286ba
14a467347cac
15582c2ed543
hex31a3befe70

213200600688 has 80 divisors (see below), whose sum is σ = 619337859840. Its totient is φ = 70210627776.

The previous prime is 213200600647. The next prime is 213200600707. The reversal of 213200600688 is 886006002312.

213200600688 is a `hidden beast` number, since 21 + 3 + 20 + 0 + 600 + 6 + 8 + 8 = 666.

It is a super-4 number, since 4×2132006006884 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937156 + ... + 3008867.

It is an arithmetic number, because the mean of its divisors is an integer number (7741723248).

Almost surely, 2213200600688 is an apocalyptic number.

It is an amenable number.

213200600688 is an abundant number, since it is smaller than the sum of its proper divisors (406137259152).

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

213200600688 is a wasteful number, since it uses less digits than its factorization.

213200600688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946123 (or 5946111 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 213200600688 in words is "two hundred thirteen billion, two hundred million, six hundred thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3984 4482 5976 8964 11952 17928 35856 5946023 11892046 17838069 23784092 35676138 47568184 53514207 71352276 95136368 107028414 142704552 160542621 214056828 285409104 321085242 428113656 493519909 642170484 856227312 987039818 1284340968 1480559727 1974079636 2568681936 2961119454 3948159272 4441679181 5922238908 7896318544 8883358362 11844477816 13325037543 17766716724 23688955632 26650075086 35533433448 53300150172 71066866896 106600300344 213200600688