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13332256740 = 22325112612133
BaseRepresentation
bin11000110101010101…
…00001011111100100
31021102010222211000200
430122222201133210
5204301024203430
610042540310500
7651246212115
oct143252413744
937363884020
1013332256740
115721790900
122700b42430
131346184a1a
1490693820c
155306d3460
hex31aaa17e4

13332256740 has 108 divisors (see below), whose sum is σ = 44451946812. Its totient is φ = 3232056960.

The previous prime is 13332256733. The next prime is 13332256757. The reversal of 13332256740 is 4765223331.

13332256740 is a `hidden beast` number, since 1 + 3 + 33 + 22 + 567 + 40 = 666.

13332256740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3583459044 + 9748797696 = 59862^2 + 98736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13332256695 and 13332256704.

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 35 ways as a sum of consecutive naturals, for example, 284287 + ... + 327846.

Almost surely, 213332256740 is an apocalyptic number.

13332256740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332256740 is an abundant number, since it is smaller than the sum of its proper divisors (31119690072).

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

13332256740 is a wasteful number, since it uses less digits than its factorization.

13332256740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612170 (or 612154 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

It can be divided in two parts, 13332 and 256740, that added together give a palindrome (270072).

The spelling of 13332256740 in words is "thirteen billion, three hundred thirty-two million, two hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 612133 1224266 1836399 2448532 3060665 3672798 5509197 6121330 6733463 7345596 9181995 11018394 12242660 13466926 18363990 20200389 22036788 26933852 27545985 33667315 36727980 40400778 55091970 60601167 67334630 74068093 80801556 101001945 110183940 121202334 134669260 148136186 202003890 222204279 242404668 296272372 303005835 370340465 404007780 444408558 606011670 666612837 740680930 888817116 1111021395 1212023340 1333225674 1481361860 2222042790 2666451348 3333064185 4444085580 6666128370 13332256740