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13426383936 = 263723394271
BaseRepresentation
bin11001000000100011…
…00101110001000000
31021122201002222021010
430200101211301000
5204444123241221
610100142000520
7653501244330
oct144021456100
937581088233
1013426383936
11576a930a79
122728576140
13135c8203a4
1491523b0c0
15538ac7c76
hex320465c40

13426383936 has 112 divisors (see below), whose sum is σ = 40625694720. Its totient is φ = 3833571840.

The previous prime is 13426383931. The next prime is 13426384009. The reversal of 13426383936 is 63938362431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13426383931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3141481 + ... + 3145751.

Almost surely, 213426383936 is an apocalyptic number.

13426383936 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 13426383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20312847360).

13426383936 is an abundant number, since it is smaller than the sum of its proper divisors (27199310784).

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

13426383936 is a wasteful number, since it uses less digits than its factorization.

13426383936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6622 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The spelling of 13426383936 in words is "thirteen billion, four hundred twenty-six million, three hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2339 4271 4678 7017 8542 9356 12813 14034 16373 17084 18712 25626 28068 29897 32746 34168 37424 49119 51252 56136 59794 65492 68336 74848 89691 98238 102504 112272 119588 130984 136672 149696 179382 196476 205008 224544 239176 261968 273344 358764 392952 410016 449088 478352 523936 717528 785904 820032 956704 1047872 1435056 1571808 1913408 2870112 3143616 5740224 9989869 19979738 29969607 39959476 59939214 69929083 79918952 119878428 139858166 159837904 209787249 239756856 279716332 319675808 419574498 479513712 559432664 639351616 839148996 959027424 1118865328 1678297992 1918054848 2237730656 3356595984 4475461312 6713191968 13426383936