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12811985298 = 2347171275233
BaseRepresentation
bin10111110111010011…
…10110000110010010
31020001220000021210000
423323221312012102
5202214332012143
65515153150430
7632331035550
oct137351660622
936056007700
1012811985298
115485039202
12259685b416
131292452ab8
148977c6bd0
154eebb3bd3
hex2fba76192

12811985298 has 160 divisors (see below), whose sum is σ = 35019730944. Its totient is φ = 3417458688.

The previous prime is 12811985293. The next prime is 12811985353. The reversal of 12811985298 is 89258911821.

12811985298 is a `hidden beast` number, since 1 + 28 + 1 + 1 + 98 + 529 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12811985293) 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 79 ways as a sum of consecutive naturals, for example, 2445690 + ... + 2450922.

Almost surely, 212811985298 is an apocalyptic number.

12811985298 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12811985298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509865472).

12811985298 is an abundant number, since it is smaller than the sum of its proper divisors (22207745646).

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

12811985298 is a wasteful number, since it uses less digits than its factorization.

12811985298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5389 counting only the distinct ones).

The product of its digits is 829440, while the sum is 54.

The spelling of 12811985298 in words is "twelve billion, eight hundred eleven million, nine hundred eighty-five thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 127 153 162 189 238 254 306 357 378 381 459 567 714 762 889 918 1071 1134 1143 1377 1778 2142 2159 2286 2667 2754 3213 3429 4318 5233 5334 6426 6477 6858 8001 9639 10287 10466 12954 15113 15699 16002 19278 19431 20574 24003 30226 31398 36631 38862 45339 47097 48006 58293 72009 73262 88961 90678 94194 109893 116586 136017 141291 144018 174879 177922 219786 266883 272034 282582 329679 349758 408051 423873 533766 622727 659358 664591 800649 816102 847746 989037 1224153 1245454 1329182 1601298 1868181 1978074 1993773 2401947 2448306 2967111 3736362 3987546 4652137 4803894 5604543 5934222 5981319 7205841 9304274 11209086 11298047 11962638 13956411 14411682 16813629 17943957 22596094 27912822 33627258 33894141 35887914 41869233 50440887 53831871 67788282 79086329 83738466 100881774 101682423 107663742 125607699 158172658 203364846 237258987 251215398 305047269 376823097 474517974 610094538 711776961 753646194 915141807 1423553922 1830283614 2135330883 4270661766 6405992649 12811985298