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20342318980516 = 2213241242312
BaseRepresentation
bin1001010000000010100001…
…01100100101110110100100
32200000201002012000111010121
410220001100230211312210
510131242032124334031
6111133044325531324
74166453425241221
oct450012054456644
980021065014117
1020342318980516
1165331468177a5
122346589573b44
13b47370754400
1450480593a948
1525423c8ec011
hex128050b25da4

20342318980516 has 81 divisors (see below), whose sum is σ = 39520562362659. Its totient is φ = 9157603478400.

The previous prime is 20342318980439. The next prime is 20342318980561. The reversal of 20342318980516 is 61508981324302.

The square root of 20342318980516 is 4510246.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13549540140900 + 6792778839616 = 3680970^2 + 2606296^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 4807920121 + ... + 4807924351.

Almost surely, 220342318980516 is an apocalyptic number.

20342318980516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20342318980516 is the 4510246-th square number.

It is an amenable number.

20342318980516 is a deficient number, since it is larger than the sum of its proper divisors (19178243382143).

20342318980516 is an frugal number, since it uses more digits than its factorization.

20342318980516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 20342318980516 in words is "twenty trillion, three hundred forty-two billion, three hundred eighteen million, nine hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 4 13 26 41 52 82 164 169 338 533 676 1066 1681 2132 3362 4231 6724 6929 8462 13858 16924 21853 27716 43706 55003 87412 110006 173471 220012 284089 346942 568178 693884 715039 1136356 1430078 2255123 2860156 4510246 7112311 9020492 14224622 17901361 28449244 29316599 35802722 58633198 71605444 92460043 117266396 184920086 232717693 369840172 465435386 733955801 930870772 1201980559 1467911602 2403961118 2935823204 3025330009 4807922236 6050660018 9541425413 12101320036 19082850826 30092187841 38165701652 60184375682 120368751364 124038530369 248077060738 391198441933 496154121476 782396883866 1564793767732 5085579745129 10171159490258 20342318980516