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13340947272 = 2336777310733
BaseRepresentation
bin11000110110010111…
…01011001101001000
31021102202100100012020
430123023223031020
5204310240303042
610043450444440
7651413116002
oct143313531510
937382310166
1013340947272
115726687164
122703a33720
131347c08553
14907b5b372
1553134d3ec
hex31b2eb348

13340947272 has 64 divisors (see below), whose sum is σ = 33897113280. Its totient is φ = 4374534912.

The previous prime is 13340947259. The next prime is 13340947303. The reversal of 13340947272 is 27274904331.

13340947272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133409472722 (a number of 21 digits) contains 22 as substring.

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, 1237618 + ... + 1248350.

It is an arithmetic number, because the mean of its divisors is an integer number (529642395).

Almost surely, 213340947272 is an apocalyptic number.

13340947272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13340947272 is an abundant number, since it is smaller than the sum of its proper divisors (20556166008).

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

13340947272 is a wasteful number, since it uses less digits than its factorization.

13340947272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 11578 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 13340947272 in words is "thirteen billion, three hundred forty million, nine hundred forty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 773 804 1546 1608 2319 3092 4638 6184 9276 10733 18552 21466 32199 42932 51791 64398 85864 103582 128796 155373 207164 257592 310746 414328 621492 719111 1242984 1438222 2157333 2876444 4314666 5752888 8296609 8629332 16593218 17258664 24889827 33186436 49779654 66372872 99559308 199118616 555872803 1111745606 1667618409 2223491212 3335236818 4446982424 6670473636 13340947272