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82752000346 = 2313319140213
BaseRepresentation
bin100110100010001100…
…1110101000101011010
321220121010111011202201
41031010121311011122
52323434003002341
6102003222320414
75656446253141
oct1150431650532
9256533434681
1082752000346
113210538a734
121405558910a
137a5a3272a2
144010466758
152244dc6331
hex134467515a

82752000346 has 16 divisors (see below), whose sum is σ = 128139176448. Its totient is φ = 40039088400.

The previous prime is 82752000277. The next prime is 82752000347. The reversal of 82752000346 is 64300025728.

It is a super-2 number, since 2×827520003462 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82752000347) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2037736 + ... + 2077948.

It is an arithmetic number, because the mean of its divisors is an integer number (8008698528).

Almost surely, 282752000346 is an apocalyptic number.

82752000346 is a deficient number, since it is larger than the sum of its proper divisors (45387176102).

82752000346 is a wasteful number, since it uses less digits than its factorization.

82752000346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73437.

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 82752000346 in words is "eighty-two billion, seven hundred fifty-two million, three hundred forty-six", and thus it is an aban number.

Divisors: 1 2 31 62 33191 40213 66382 80426 1028921 1246603 2057842 2493206 1334709683 2669419366 41376000173 82752000346