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13643210112 = 273731163729
BaseRepresentation
bin11001011010011001…
…01101110110000000
31022012211002212212020
430231030231312000
5210420130210422
610133445201440
7662043241530
oct145514556600
938184085766
1013643210112
115871266764
122789100280
1313957192bc
14935d5d4c0
1554cb5795c
hex32d32dd80

13643210112 has 128 divisors (see below), whose sum is σ = 42753177600. Its totient is φ = 3772293120.

The previous prime is 13643210099. The next prime is 13643210131. The reversal of 13643210112 is 21101234631.

It is a happy number.

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

It is a super-2 number, since 2×136432101122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1464 + ... + 165192.

It is an arithmetic number, because the mean of its divisors is an integer number (334009200).

Almost surely, 213643210112 is an apocalyptic number.

13643210112 is a gapful number since it is divisible by the number (12) 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 13643210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21376588800).

13643210112 is an abundant number, since it is smaller than the sum of its proper divisors (29109967488).

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

13643210112 is a wasteful number, since it uses less digits than its factorization.

13643210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163784 (or 163772 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13643210112 its reverse (21101234631), we get a palindrome (34744444743).

The spelling of 13643210112 in words is "thirteen billion, six hundred forty-three million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 163729 327458 491187 654916 982374 1146103 1309832 1964748 2292206 2619664 3438309 3929496 4584412 5075599 5239328 6876618 7858992 9168824 10151198 10478656 13753236 15226797 15717984 18337648 20302396 20957312 27506472 30453594 31435968 35529193 36675296 40604792 55012944 60907188 62871936 71058386 73350592 81209584 106587579 110025888 121814376 142116772 146701184 162419168 213175158 220051776 243628752 284233544 324838336 426350316 440103552 487257504 568467088 649676672 852700632 974515008 1136934176 1705401264 1949030016 2273868352 3410802528 4547736704 6821605056 13643210112