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12688651488 = 2531723932531
BaseRepresentation
bin10111101000100110…
…10111010011100000
31012202021221021121010
423310103113103200
5201441243321423
65455025500520
7626302521012
oct136423272340
935667837533
1012688651488
11542145a737
1225614a1740
131272a2c606
148852801b2
154e3e50693
hex2f44d74e0

12688651488 has 96 divisors (see below), whose sum is σ = 35415636480. Its totient is φ = 3963975680.

The previous prime is 12688651457. The next prime is 12688651501. The reversal of 12688651488 is 88415688621.

12688651488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126886514882 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373783 + ... + 406313.

It is an arithmetic number, because the mean of its divisors is an integer number (368912880).

Almost surely, 212688651488 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 12688651488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707818240).

12688651488 is an abundant number, since it is smaller than the sum of its proper divisors (22726984992).

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

12688651488 is a wasteful number, since it uses less digits than its factorization.

12688651488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32800 (or 32792 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 57.

The spelling of 12688651488 in words is "twelve billion, six hundred eighty-eight million, six hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 239 272 408 478 544 717 816 956 1434 1632 1912 2868 3824 4063 5736 7648 8126 11472 12189 16252 22944 24378 32504 32531 48756 65008 65062 97512 97593 130016 130124 195024 195186 260248 390048 390372 520496 553027 780744 1040992 1106054 1561488 1659081 2212108 3122976 3318162 4424216 6636324 7774909 8848432 13272648 15549818 17696864 23324727 26545296 31099636 46649454 53090592 62199272 93298908 124398544 132173453 186597816 248797088 264346906 373195632 396520359 528693812 746391264 793040718 1057387624 1586081436 2114775248 3172162872 4229550496 6344325744 12688651488