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13347714852 = 22321931761559
BaseRepresentation
bin11000110111001010…
…11111011100100100
31021110020002011120100
430123211133130210
5204314003333402
610044251504100
7651524463363
oct143345373444
937406064510
1013347714852
11572a4897aa
122706158030
131349437a34
149089dd7da
15531c3871c
hex31b95f724

13347714852 has 72 divisors (see below), whose sum is σ = 35628465600. Its totient is φ = 4201702848.

The previous prime is 13347714827. The next prime is 13347714937. The reversal of 13347714852 is 25841774331.

13347714852 is a `hidden beast` number, since 1 + 33 + 477 + 148 + 5 + 2 = 666.

It is a super-2 number, since 2×133477148522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13347714798 and 13347714807.

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 23 ways as a sum of consecutive naturals, for example, 186049 + ... + 247607.

It is an arithmetic number, because the mean of its divisors is an integer number (494839800).

Almost surely, 213347714852 is an apocalyptic number.

13347714852 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 13347714852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17814232800).

13347714852 is an abundant number, since it is smaller than the sum of its proper divisors (22280750748).

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

13347714852 is a wasteful number, since it uses less digits than its factorization.

13347714852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61905 (or 61900 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 13347714852 in words is "thirteen billion, three hundred forty-seven million, seven hundred fourteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 317 342 634 684 951 1268 1902 2853 3804 5706 6023 11412 12046 18069 24092 36138 54207 61559 72276 108414 123118 184677 216828 246236 369354 554031 738708 1108062 1169621 2216124 2339242 3508863 4678484 7017726 10526589 14035452 19514203 21053178 39028406 42106356 58542609 78056812 117085218 175627827 234170436 351255654 370769857 702511308 741539714 1112309571 1483079428 2224619142 3336928713 4449238284 6673857426 13347714852