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12777730536 = 23317315917123
BaseRepresentation
bin10111110011001110…
…01011000111101000
31012222111112222002010
423321213023013220
5202132044334121
65511531035520
7631433626464
oct137147130750
935874488063
1012777730536
11546777208a
12258729bba0
13128831b2cc
1489302b4a4
154ebb99376
hex2f99cb1e8

12777730536 has 128 divisors (see below), whose sum is σ = 35508326400. Its totient is φ = 3813411840.

The previous prime is 12777730531. The next prime is 12777730547. The reversal of 12777730536 is 63503777721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12777730531) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 737671 + ... + 754793.

It is an arithmetic number, because the mean of its divisors is an integer number (277408800).

Almost surely, 212777730536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12777730536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754163200).

12777730536 is an abundant number, since it is smaller than the sum of its proper divisors (22730595864).

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

12777730536 is a wasteful number, since it uses less digits than its factorization.

12777730536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17239 (or 17235 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 48.

The spelling of 12777730536 in words is "twelve billion, seven hundred seventy-seven million, seven hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 59 62 68 93 102 118 124 136 177 186 204 236 248 354 372 408 472 527 708 744 1003 1054 1416 1581 1829 2006 2108 3009 3162 3658 4012 4216 5487 6018 6324 7316 8024 10974 12036 12648 14632 17123 21948 24072 31093 34246 43896 51369 62186 68492 93279 102738 124372 136984 186558 205476 248744 291091 373116 410952 530813 582182 746232 873273 1010257 1061626 1164364 1592439 1746546 2020514 2123252 2328728 3030771 3184878 3493092 4041028 4246504 6061542 6369756 6986184 8082056 9023821 12123084 12739512 17174369 18047642 24246168 27071463 31317967 34348738 36095284 51523107 54142926 62635934 68697476 72190568 93953901 103046214 108285852 125271868 137394952 187907802 206092428 216571704 250543736 375815604 412184856 532405439 751631208 1064810878 1597216317 2129621756 3194432634 4259243512 6388865268 12777730536