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83183805635052 = 223172341432411191
BaseRepresentation
bin10010111010011110111101…
…001011111001100111101100
3101220112021221102212000012010
4102322132331023321213230
541400340413220310202
6452530040204441220
723343555151363443
oct2272367513714754
9356467842760163
1083183805635052
1124561065757a31
1293b56b4249210
133755278894905
141678190c83d5a
15993c05a1676c
hex4ba7bd2f99ec

83183805635052 has 96 divisors (see below), whose sum is σ = 219678722694144. Its totient is φ = 24353398220800.

The previous prime is 83183805634997. The next prime is 83183805635053. The reversal of 83183805635052 is 25053650838138.

83183805635052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×831838056350522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83183805634983 and 83183805635001.

It is not an unprimeable number, because it can be changed into a prime (83183805635053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216013224 + ... + 216397967.

It is an arithmetic number, because the mean of its divisors is an integer number (2288320028064).

Almost surely, 283183805635052 is an apocalyptic number.

83183805635052 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

83183805635052 is an abundant number, since it is smaller than the sum of its proper divisors (136494917059092).

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

83183805635052 is a wasteful number, since it uses less digits than its factorization.

83183805635052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432411279 (or 432411277 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 83183805635052 in words is "eighty-three trillion, one hundred eighty-three billion, eight hundred five million, six hundred thirty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 23 34 41 46 51 68 69 82 92 102 123 138 164 204 246 276 391 492 697 782 943 1173 1394 1564 1886 2091 2346 2788 2829 3772 4182 4692 5658 8364 11316 16031 32062 48093 64124 96186 192372 432411191 864822382 1297233573 1729644764 2594467146 5188934292 7350990247 9945457393 14701980494 17728858831 19890914786 22052970741 29403960988 29836372179 35457717662 39781829572 44105941482 53186576493 59672744358 70915435324 88211882964 106373152986 119345488716 169072775681 212746305972 301390600127 338145551362 407763753113 507218327043 602781200254 676291102724 815527506226 904171800381 1014436654086 1205562400508 1223291259339 1631055012452 1808343600762 2028873308172 2446582518678 3616687201524 4893165037356 6931983802921 13863967605842 20795951408763 27727935211684 41591902817526 83183805635052