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13478133690 = 2325731368351
BaseRepresentation
bin11001000110101101…
…11111111110111010
31021210022111010120200
430203112333332322
5210100400234230
610105231103030
7655000150260
oct144326777672
937708433520
1013478133690
11579706736a
122741971a76
13136a46c048
1491c06c430
1553d3eb160
hex3235bffba

13478133690 has 96 divisors (see below), whose sum is σ = 40177852416. Its totient is φ = 3070828800.

The previous prime is 13478133689. The next prime is 13478133703. The reversal of 13478133690 is 9633187431.

It is a super-2 number, since 2×134781336902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163015 + ... + 231365.

It is an arithmetic number, because the mean of its divisors is an integer number (418519296).

Almost surely, 213478133690 is an apocalyptic number.

13478133690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13478133690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088926208).

13478133690 is an abundant number, since it is smaller than the sum of its proper divisors (26699718726).

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

13478133690 is a wasteful number, since it uses less digits than its factorization.

13478133690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68684 (or 68681 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13478133690 in words is "thirteen billion, four hundred seventy-eight million, one hundred thirty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 313 315 626 630 939 1565 1878 2191 2817 3130 4382 4695 5634 6573 9390 10955 13146 14085 19719 21910 28170 32865 39438 65730 68351 98595 136702 197190 205053 341755 410106 478457 615159 683510 956914 1025265 1230318 1435371 2050530 2392285 2870742 3075795 4306113 4784570 6151590 7176855 8612226 14353710 21393863 21530565 42787726 43061130 64181589 106969315 128363178 149757041 192544767 213938630 299514082 320907945 385089534 449271123 641815890 748785205 898542246 962723835 1347813369 1497570410 1925447670 2246355615 2695626738 4492711230 6739066845 13478133690