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13253391312 = 2437312574951
BaseRepresentation
bin11000101011111011…
…01011001111010000
31021012122121000222220
430111331223033100
5204120332010222
610031042101040
7646300652550
oct142575531720
937178530886
1013253391312
115691215067
12269a64a780
131332a30ba5
148da289160
15528805b5c
hex315f6b3d0

13253391312 has 160 divisors (see below), whose sum is σ = 40556642304. Its totient is φ = 3649536000.

The previous prime is 13253391289. The next prime is 13253391331. The reversal of 13253391312 is 21319335231.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2674437 + ... + 2679387.

Almost surely, 213253391312 is an apocalyptic number.

13253391312 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 13253391312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278321152).

13253391312 is an abundant number, since it is smaller than the sum of its proper divisors (27303250992).

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

13253391312 is a wasteful number, since it uses less digits than its factorization.

13253391312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5251 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The spelling of 13253391312 in words is "thirteen billion, two hundred fifty-three million, three hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 257 336 372 434 496 514 651 744 771 868 1028 1302 1488 1542 1736 1799 2056 2604 3084 3472 3598 4112 4951 5208 5397 6168 7196 7967 9902 10416 10794 12336 14392 14853 15934 19804 21588 23901 28784 29706 31868 34657 39608 43176 47802 55769 59412 63736 69314 79216 86352 95604 103971 111538 118824 127472 138628 153481 167307 191208 207942 223076 237648 277256 306962 334614 382416 415884 446152 460443 554512 613924 669228 831768 892304 920886 1074367 1227848 1272407 1338456 1663536 1841772 2148734 2455696 2544814 2676912 3223101 3683544 3817221 4297468 5089628 6446202 7367088 7634442 8594936 8906849 10179256 12892404 15268884 17189872 17813698 20358512 25784808 26720547 30537768 35627396 39444617 51569616 53441094 61075536 71254792 78889234 106882188 118333851 142509584 157778468 213764376 236667702 276112319 315556936 427528752 473335404 552224638 631113872 828336957 946670808 1104449276 1656673914 1893341616 2208898552 3313347828 4417797104 6626695656 13253391312