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12689895816 = 233213103131627
BaseRepresentation
bin10111101000110000…
…00111000110001000
31012202101021111111100
423310120013012020
5201442103131231
65455112301400
7626316222543
oct136430070610
935671244440
1012689895816
11542212a604
1225619a1860
131273076ac0
148854c585a
154e40e91e6
hex2f4607188

12689895816 has 96 divisors (see below), whose sum is σ = 37371821760. Its totient is φ = 3866645376.

The previous prime is 12689895793. The next prime is 12689895821. The reversal of 12689895816 is 61859898621.

It is a super-3 number, since 3×126898958163 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30595 + ... + 162221.

It is an arithmetic number, because the mean of its divisors is an integer number (389289810).

Almost surely, 212689895816 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 12689895816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18685910880).

12689895816 is an abundant number, since it is smaller than the sum of its proper divisors (24681925944).

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

12689895816 is a wasteful number, since it uses less digits than its factorization.

12689895816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131755 (or 131748 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 12689895816 in words is "twelve billion, six hundred eighty-nine million, eight hundred ninety-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 103 104 117 156 206 234 309 312 412 468 618 824 927 936 1236 1339 1854 2472 2678 3708 4017 5356 7416 8034 10712 12051 16068 24102 32136 48204 96408 131627 263254 394881 526508 789762 1053016 1184643 1579524 1711151 2369286 3159048 3422302 4738572 5133453 6844604 9477144 10266906 13557581 13689208 15400359 20533812 27115162 30800718 40672743 41067624 54230324 61601436 81345486 108460648 122018229 123202872 162690972 176248553 244036458 325381944 352497106 488072916 528745659 704994212 976145832 1057491318 1409988424 1586236977 2114982636 3172473954 4229965272 6344947908 12689895816