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13213259640 = 2332572749051
BaseRepresentation
bin11000100111001001…
…00101011101111000
31021002212002010200200
430103210211131320
5204030043302030
610023050002200
7645302565600
oct142344453570
937085063620
1013213259640
1156705a4599
122689116360
13132761c439
148d4bddc00
15525029d60
hex313925778

13213259640 has 144 divisors (see below), whose sum is σ = 49954277880. Its totient is φ = 3020169600.

The previous prime is 13213259621. The next prime is 13213259651. The reversal of 13213259640 is 4695231231.

13213259640 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 2 + 5 + 9 + 640 = 666.

13213259640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13213259595 and 13213259604.

It is a congruent number.

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, 356886 + ... + 392165.

Almost surely, 213213259640 is an apocalyptic number.

13213259640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213259640 is an abundant number, since it is smaller than the sum of its proper divisors (36741018240).

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

13213259640 is a wasteful number, since it uses less digits than its factorization.

13213259640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749082 (or 749068 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13213259640 in words is "thirteen billion, two hundred thirteen million, two hundred fifty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 749051 1498102 2247153 2996204 3745255 4494306 5243357 5992408 6741459 7490510 8988612 10486714 11235765 13482918 14981020 15730071 17977224 20973428 22471530 26216785 26965836 29962040 31460142 33707295 36703499 41946856 44943060 47190213 52433570 53931672 62920284 67414590 73406998 78650355 89886120 94380426 104867140 110110497 125840568 134829180 146813996 157300710 183517495 188760852 209734280 220220994 235951065 269658360 293627992 314601420 330331491 367034990 377521704 440441988 471902130 550552485 629202840 660662982 734069980 880883976 943804260 1101104970 1321325964 1468139960 1651657455 1887608520 2202209940 2642651928 3303314910 4404419880 6606629820 13213259640