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12702071634 = 237192899413
BaseRepresentation
bin10111101010001101…
…00011101101010010
31012210020012002120120
423311012203231102
5202003212243014
65500225251110
7626524553550
oct136506435522
935706162516
1012702071634
115428a9646a
122565a93a96
13127574ab25
14886d74bd0
154e5201ba9
hex2f51a3b52

12702071634 has 96 divisors (see below), whose sum is σ = 30989381760. Its totient is φ = 3399162624.

The previous prime is 12702071633. The next prime is 12702071677. The reversal of 12702071634 is 43617020721.

It is a super-2 number, since 2×127020716342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12702071595 and 12702071604.

It is not an unprimeable number, because it can be changed into a prime (12702071633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344712 + ... + 1354124.

It is an arithmetic number, because the mean of its divisors is an integer number (322806060).

Almost surely, 212702071634 is an apocalyptic number.

12702071634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12702071634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494690880).

12702071634 is an abundant number, since it is smaller than the sum of its proper divisors (18287310126).

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

12702071634 is a wasteful number, since it uses less digits than its factorization.

12702071634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 12702071634 in words is "twelve billion, seven hundred two million, seventy-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 89 114 133 178 266 267 361 399 534 623 722 798 1083 1246 1691 1869 2166 2527 3382 3738 5054 5073 7581 9413 10146 11837 15162 18826 23674 28239 32129 35511 56478 64258 65891 71022 96387 131782 178847 192774 197673 224903 357694 395346 449806 536541 674709 837757 1073082 1251929 1349418 1675514 2503858 2513271 3398093 3755787 5026542 5864299 6796186 7511574 10194279 11728598 15917383 17592897 20388558 23786651 31834766 35185794 47573302 47752149 71359953 95504298 111421681 142719906 222843362 302430277 334265043 604860554 668530086 907290831 1814581662 2117011939 4234023878 6351035817 12702071634