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209716769034 = 23419791276791
BaseRepresentation
bin1100001101010000010…
…1111111000100001010
3202001022112002200210000
43003110011333010022
511413444443102114
6240201554103430
721102656060463
oct3032405770412
9661275080700
10209716769034
1180a38715633
123478987ab76
1316a12430456
14a216797d6a
1556c6536e09
hex30d417f10a

209716769034 has 160 divisors (see below), whose sum is σ = 504933580800. Its totient is φ = 64863620640.

The previous prime is 209716769029. The next prime is 209716769057. The reversal of 209716769034 is 430967617902.

It is a happy number.

It is a super-2 number, since 2×2097167690342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 30878179 + ... + 30884969.

It is an arithmetic number, because the mean of its divisors is an integer number (3155834880).

Almost surely, 2209716769034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209716769034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252466790400).

209716769034 is an abundant number, since it is smaller than the sum of its proper divisors (295216811766).

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

209716769034 is a wasteful number, since it uses less digits than its factorization.

209716769034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 209716769034 in words is "two hundred nine billion, seven hundred sixteen million, seven hundred sixty-nine thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 81 114 127 158 162 171 237 254 342 381 474 513 711 762 1026 1143 1422 1501 1539 2133 2286 2413 3002 3078 3429 4266 4503 4826 6399 6791 6858 7239 9006 10033 10287 12798 13509 13582 14478 20066 20373 20574 21717 27018 30099 40527 40746 43434 60198 61119 65151 81054 90297 121581 122238 129029 130302 180594 183357 190627 195453 243162 258058 270891 366714 381254 387087 390906 536489 541782 550071 571881 774174 812673 862457 1072978 1100142 1143762 1161261 1609467 1625346 1715643 1724914 2322522 2587371 3218934 3431286 3483783 4828401 5146929 5174742 6967566 7762113 9656802 10193291 10293858 10451349 14485203 15440787 15524226 16386683 20386582 20902698 23286339 28970406 30579873 30881574 32773366 43455609 46572678 49160049 61159746 68134103 69859017 86911218 91739619 98320098 136268206 139718034 147480147 183479238 204402309 275218857 294960294 408804618 442440441 550437714 613206927 825656571 884880882 1226413854 1294547957 1327321323 1651313142 1839620781 2589095914 2654642646 3679241562 3883643871 5518862343 7767287742 11037724686 11650931613 23301863226 34952794839 69905589678 104858384517 209716769034