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12830698020 = 22357213931397
BaseRepresentation
bin10111111001100010…
…01110101000100100
31020010012012222210210
423330301032220210
5202234124314040
65521102215420
7632646063600
oct137461165044
936105188723
1012830698020
11549465a368
1225a0b84570
1312962a530a
1489a098500
1550165d480
hex2fcc4ea24

12830698020 has 144 divisors (see below), whose sum is σ = 42093414720. Its totient is φ = 2911539456.

The previous prime is 12830698019. The next prime is 12830698037. The reversal of 12830698020 is 2089603821.

It is a happy number.

12830698020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12830698020.

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 47 ways as a sum of consecutive naturals, for example, 392962 + ... + 424358.

It is an arithmetic number, because the mean of its divisors is an integer number (292315380).

Almost surely, 212830698020 is an apocalyptic number.

12830698020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12830698020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046707360).

12830698020 is an abundant number, since it is smaller than the sum of its proper divisors (29262716700).

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

12830698020 is a wasteful number, since it uses less digits than its factorization.

12830698020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31562 (or 31553 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 12830698020 in words is "twelve billion, eight hundred thirty million, six hundred ninety-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 139 140 147 196 210 245 278 294 417 420 490 556 588 695 735 834 973 980 1390 1470 1668 1946 2085 2780 2919 2940 3892 4170 4865 5838 6811 8340 9730 11676 13622 14595 19460 20433 27244 29190 31397 34055 40866 58380 62794 68110 81732 94191 102165 125588 136220 156985 188382 204330 219779 313970 376764 408660 439558 470955 627940 659337 879116 941910 1098895 1318674 1538453 1883820 2197790 2637348 3076906 3296685 4364183 4395580 4615359 6153812 6593370 7692265 8728366 9230718 13092549 13186740 15384530 17456732 18461436 21820915 23076795 26185098 30549281 30769060 43641830 46153590 52370196 61098562 65462745 87283660 91647843 92307180 122197124 130925490 152746405 183295686 213844967 261850980 305492810 366591372 427689934 458239215 610985620 641534901 855379868 916478430 1069224835 1283069802 1832956860 2138449670 2566139604 3207674505 4276899340 6415349010 12830698020