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13389935488 = 2717107131439
BaseRepresentation
bin11000111100001101…
…00011001110000000
31021120011112012101121
430132012203032000
5204410310413423
610052400442024
7652546400536
oct143606431600
937504465347
1013389935488
1157512a6796
122718319314
1313550cb267
14910470156
155357c845d
hex31e1a3380

13389935488 has 128 divisors (see below), whose sum is σ = 28791417600. Its totient is φ = 6180495360.

The previous prime is 13389935467. The next prime is 13389935549. The reversal of 13389935488 is 88453998331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30500773 + ... + 30501211.

It is an arithmetic number, because the mean of its divisors is an integer number (224932950).

Almost surely, 213389935488 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 13389935488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395708800).

13389935488 is an abundant number, since it is smaller than the sum of its proper divisors (15401482112).

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

13389935488 is a wasteful number, since it uses less digits than its factorization.

13389935488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 61.

The spelling of 13389935488 in words is "thirteen billion, three hundred eighty-nine million, nine hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 131 136 214 262 272 428 439 524 544 856 878 1048 1088 1712 1756 1819 2096 2176 2227 3424 3512 3638 4192 4454 6848 7024 7276 7463 8384 8908 13696 14017 14048 14552 14926 16768 17816 28034 28096 29104 29852 35632 46973 56068 56192 57509 58208 59704 71264 93946 112136 115018 116416 119408 142528 187892 224272 230036 232832 238289 238816 285056 375784 448544 460072 476578 477632 751568 798541 897088 920144 953156 955264 977653 1503136 1597082 1794176 1840288 1906312 1955306 3006272 3194164 3680576 3812624 3910612 6012544 6153463 6388328 7361152 7625248 7821224 12306926 12776656 15250496 15642448 24613852 25553312 30500992 31284896 49227704 51106624 62569792 98455408 102213248 104608871 125139584 196910816 209217742 393821632 418435484 787643264 836870968 1673741936 3347483872 6694967744 13389935488