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81329846337348 = 223715722926929949
BaseRepresentation
bin10010011111100000010100…
…100110011011111101000100
3101122222001112211100111200220
4102133200110212123331010
541130002011130243343
6444550225434504340
723062613260354560
oct2237402446337504
9348861484314626
1081329846337348
1123a06880aa1334
129156328b950b0
13364c4aa53c6ab
141612557dc86a0
15960898c33183
hex49f81499bf44

81329846337348 has 96 divisors (see below), whose sum is σ = 219214101792000. Its totient is φ = 22988265371136.

The previous prime is 81329846337253. The next prime is 81329846337367. The reversal of 81329846337348 is 84373364892318.

It is a super-2 number, since 2×813298463373482 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10444923 + ... + 16485026.

It is an arithmetic number, because the mean of its divisors is an integer number (2283480227000).

Almost surely, 281329846337348 is an apocalyptic number.

It is an amenable number.

81329846337348 is an abundant number, since it is smaller than the sum of its proper divisors (137884255454652).

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

81329846337348 is a wasteful number, since it uses less digits than its factorization.

81329846337348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26930349 (or 26930347 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 69.

The spelling of 81329846337348 in words is "eighty-one trillion, three hundred twenty-nine billion, eight hundred forty-six million, three hundred thirty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 229 314 458 471 628 687 916 942 1099 1374 1603 1884 2198 2748 3206 3297 4396 4809 6412 6594 9618 13188 19236 35953 71906 107859 143812 215718 251671 431436 503342 755013 1006684 1510026 3020052 26929949 53859898 80789847 107719796 161579694 188509643 323159388 377019286 565528929 754038572 1131057858 2262115716 4228001993 6166958321 8456003986 12333916642 12684005979 16912007972 18500874963 24667833284 25368011958 29596013951 37001749926 43168708247 50736023916 59192027902 74003499852 86337416494 88788041853 118384055804 129506124741 172674832988 177576083706 259012249482 355152167412 518024498964 968212456397 1936424912794 2904637369191 3872849825588 5809274738382 6777487194779 11618549476764 13554974389558 20332461584337 27109948779116 40664923168674 81329846337348