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13312595856 = 2437313734543
BaseRepresentation
bin11000110010111111…
…00001011110010000
31021100202222221100210
430121133201132100
5204231011031411
610040555044120
7650620124550
oct143137413620
937322887323
1013312595856
11571168233a
1226b6440640
13134208ca71
1490409b160
1552daecca6
hex3197e1790

13312595856 has 160 divisors (see below), whose sum is σ = 41669459968. Its totient is φ = 3581314560.

The previous prime is 13312595837. The next prime is 13312595861. The reversal of 13312595856 is 65859521331.

It is a happy number.

13312595856 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 (48).

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 31 ways as a sum of consecutive naturals, for example, 368121 + ... + 402663.

Almost surely, 213312595856 is an apocalyptic number.

13312595856 is a gapful number since it is divisible by the number (16) 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 13312595856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834729984).

13312595856 is an abundant number, since it is smaller than the sum of its proper divisors (28356864112).

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

13312595856 is a wasteful number, since it uses less digits than its factorization.

13312595856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34629 (or 34623 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The spelling of 13312595856 in words is "thirteen billion, three hundred twelve million, five hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 74 84 93 111 112 124 148 168 186 217 222 248 259 296 336 372 434 444 496 518 592 651 744 777 868 888 1036 1147 1302 1488 1554 1736 1776 2072 2294 2604 3108 3441 3472 4144 4588 5208 6216 6882 8029 9176 10416 12432 13764 16058 18352 24087 27528 32116 34543 48174 55056 64232 69086 96348 103629 128464 138172 192696 207258 241801 276344 385392 414516 483602 552688 725403 829032 967204 1070833 1278091 1450806 1658064 1934408 2141666 2556182 2901612 3212499 3834273 3868816 4283332 5112364 5803224 6424998 7495831 7668546 8566664 8946637 10224728 11606448 12849996 14991662 15337092 17133328 17893274 20449456 22487493 25699992 26839911 29983324 30674184 35786548 39620821 44974986 51399984 53679822 59966648 61348368 71573096 79241642 89949972 107359644 118862463 119933296 143146192 158483284 179899944 214719288 237724926 277345747 316966568 359799888 429438576 475449852 554691494 633933136 832037241 950899704 1109382988 1664074482 1901799408 2218765976 3328148964 4437531952 6656297928 13312595856