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213234859656 = 233271332545003
BaseRepresentation
bin1100011010010111001…
…0011011111010001000
3202101101201000012211200
43012211302123322020
511443201111002111
6241543031024200
721256105254450
oct3064562337210
9671351005750
10213234859656
1182483579145
12353abb0b060
1317153262090
14a46bb04d60
155830319256
hex31a5c9be88

213234859656 has 96 divisors (see below), whose sum is σ = 710782887360. Its totient is φ = 56237763456.

The previous prime is 213234859637. The next prime is 213234859687. The reversal of 213234859656 is 656958432312.

It is a happy number.

213234859656 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 48 + 596 + 5 + 6 = 666.

213234859656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16265950 + ... + 16279053.

It is an arithmetic number, because the mean of its divisors is an integer number (7403988410).

Almost surely, 2213234859656 is an apocalyptic number.

213234859656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

213234859656 is an abundant number, since it is smaller than the sum of its proper divisors (497548027704).

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

213234859656 is a wasteful number, since it uses less digits than its factorization.

213234859656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32545035 (or 32545028 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 213234859656 in words is "two hundred thirteen billion, two hundred thirty-four million, eight hundred fifty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 32545003 65090006 97635009 130180012 195270018 227815021 260360024 292905027 390540036 423085039 455630042 585810054 683445063 781080072 846170078 911260084 1171620108 1269255117 1366890126 1692340156 1822520168 2050335189 2343240216 2538510234 2733780252 2961595273 3384680312 3807765351 4100670378 5077020468 5467560504 5923190546 7615530702 8201340756 8884785819 10154040936 11846381092 15231061404 16402681512 17769571638 23692762184 26654357457 30462122808 35539143276 53308714914 71078286552 106617429828 213234859656