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13047377712 = 2433116975167
BaseRepresentation
bin11000010011010111…
…10010111100110000
31020200021221110110120
430021223302330300
5203210112041322
65554402330240
7641216611035
oct141153627460
936607843416
1013047377712
1155959a4a96
122641659980
1312cc14c655
148bab7d38c
155156aea5c
hex309af2f30

13047377712 has 80 divisors (see below), whose sum is σ = 34820247552. Its totient is φ = 4205537280.

The previous prime is 13047377687. The next prime is 13047377731. The reversal of 13047377712 is 21777374031.

It is a happy number.

13047377712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 2522553 + ... + 2527719.

Almost surely, 213047377712 is an apocalyptic number.

13047377712 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 13047377712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410123776).

13047377712 is an abundant number, since it is smaller than the sum of its proper divisors (21772869840).

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

13047377712 is a wasteful number, since it uses less digits than its factorization.

13047377712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The spelling of 13047377712 in words is "thirteen billion, forty-seven million, three hundred seventy-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1697 3394 5091 5167 6788 10182 10334 13576 15501 20364 20668 27152 31002 40728 41336 52607 62004 81456 82672 105214 124008 157821 160177 210428 248016 315642 320354 420856 480531 631284 640708 841712 961062 1262568 1281416 1922124 2525136 2562832 3844248 7688496 8768399 17536798 26305197 35073596 52610394 70147192 105220788 140294384 210441576 271820369 420883152 543640738 815461107 1087281476 1630922214 2174562952 3261844428 4349125904 6523688856 13047377712