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12846970332 = 223473115601
BaseRepresentation
bin10111111011011110…
…10011010111011100
31020011022211201020000
423331233103113130
5202302311022312
65522443054300
7633234306000
oct137557232734
936138751200
1012846970332
1154a2863a59
1225a6511390
131299781ac1
1489c2d2700
15502cc4adc
hex2fdbd35dc

12846970332 has 120 divisors (see below), whose sum is σ = 39165957600. Its totient is φ = 3670531200.

The previous prime is 12846970277. The next prime is 12846970343. The reversal of 12846970332 is 23307964821.

It is a super-2 number, since 2×128469703322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 53332 + ... + 168932.

It is an arithmetic number, because the mean of its divisors is an integer number (326382980).

Almost surely, 212846970332 is an apocalyptic number.

12846970332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12846970332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582978800).

12846970332 is an abundant number, since it is smaller than the sum of its proper divisors (26318987268).

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

12846970332 is a wasteful number, since it uses less digits than its factorization.

12846970332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115638 (or 115613 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12846970332 in words is "twelve billion, eight hundred forty-six million, nine hundred seventy thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 441 567 588 686 756 882 1029 1134 1323 1372 1764 2058 2268 2646 3087 3969 4116 5292 6174 7938 9261 12348 15876 18522 27783 37044 55566 111132 115601 231202 346803 462404 693606 809207 1040409 1387212 1618414 2080818 2427621 3121227 3236828 4161636 4855242 5664449 6242454 7282863 9363681 9710484 11328898 12484908 14565726 16993347 18727362 21848589 22657796 29131452 33986694 37454724 39651143 43697178 50980041 65545767 67973388 79302286 87394356 101960082 118953429 131091534 152940123 158604572 203920164 237906858 262183068 305880246 356860287 458820369 475813716 611760492 713720574 917640738 1070580861 1427441148 1835281476 2141161722 3211742583 4282323444 6423485166 12846970332