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12870528705 = 325107109137179
BaseRepresentation
bin10111111110010010…
…01010111011000001
31020012222011121020100
423333021022323001
5202324323404310
65525044033013
7633641455206
oct137711127301
936188147210
1012870528705
115505094791
1225b2392769
1312a160ca78
148a14a5cad
15504dc9ec0
hex2ff24aec1

12870528705 has 96 divisors (see below), whose sum is σ = 23017737600. Its totient is φ = 6651196416.

The previous prime is 12870528689. The next prime is 12870528719. The reversal of 12870528705 is 50782507821.

It is not a de Polignac number, because 12870528705 - 24 = 12870528689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71902306 + ... + 71902484.

It is an arithmetic number, because the mean of its divisors is an integer number (239768100).

Almost surely, 212870528705 is an apocalyptic number.

12870528705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12870528705 is a deficient number, since it is larger than the sum of its proper divisors (10147208895).

12870528705 is a wasteful number, since it uses less digits than its factorization.

12870528705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 12870528705 in words is "twelve billion, eight hundred seventy million, five hundred twenty-eight thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 107 109 137 179 321 327 411 535 537 545 685 895 963 981 1233 1605 1611 1635 2055 2685 4815 4905 6165 8055 11663 14659 14933 19153 19511 24523 34989 43977 44799 57459 58315 58533 73295 73569 74665 95765 97555 104967 122615 131931 134397 172377 174945 175599 219885 220707 223995 287295 292665 367845 524835 659655 671985 861885 877995 1103535 1597831 2087677 2623961 2673007 4793493 6263031 7871883 7989155 8019021 10438385 13119805 13365035 14380479 18789093 23615649 23967465 24057063 31315155 39359415 40095105 71902395 93945465 118078245 120285315 286011749 858035247 1430058745 2574105741 4290176235 12870528705