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204214081720 = 235111313542923
BaseRepresentation
bin1011111000110000011…
…0111001100010111000
3201112010000211012212011
42332030012321202320
511321212301103340
6233451544255304
720516421024355
oct2761406714270
9645100735764
10204214081720
1179674586170
12336b2a71534
13163463b855c
149c53a4162c
1554a33d60ea
hex2f8c1b98b8

204214081720 has 64 divisors (see below), whose sum is σ = 505079245440. Its totient is φ = 73692777600.

The previous prime is 204214081711. The next prime is 204214081739. The reversal of 204214081720 is 27180412402.

204214081720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1713822 + ... + 1829101.

It is an arithmetic number, because the mean of its divisors is an integer number (7891863210).

Almost surely, 2204214081720 is an apocalyptic number.

204214081720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204214081720 is an abundant number, since it is smaller than the sum of its proper divisors (300865163720).

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

204214081720 is a wasteful number, since it uses less digits than its factorization.

204214081720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543076 (or 3543072 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The spelling of 204214081720 in words is "two hundred four billion, two hundred fourteen million, eighty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2620 2882 5240 5764 7205 11528 14410 28820 57640 3542923 7085846 14171692 17714615 28343384 35429230 38972153 70858460 77944306 141716920 155888612 194860765 311777224 389721530 464122913 779443060 928245826 1558886120 1856491652 2320614565 3712983304 4641229130 5105352043 9282458260 10210704086 18564916520 20421408172 25526760215 40842816344 51053520430 102107040860 204214081720