Search a number
-
+
13135704336 = 243330406723
BaseRepresentation
bin11000011101111001…
…01111000100010000
31020220110010220211000
430032330233010100
5203400220014321
610011235422000
7643341434046
oct141674570420
936813126730
1013135704336
1156308430a7
122667154900
131314536a21
148c87b2396
1551d30a826
hex30ef2f110

13135704336 has 40 divisors (see below), whose sum is σ = 37704337760. Its totient is φ = 4378567968.

The previous prime is 13135704319. The next prime is 13135704349. The reversal of 13135704336 is 63340753131.

13135704336 is a `hidden beast` number, since 1 + 3 + 13 + 570 + 43 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13135704336.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15202930 + ... + 15203793.

It is an arithmetic number, because the mean of its divisors is an integer number (942608444).

Almost surely, 213135704336 is an apocalyptic number.

13135704336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13135704336 is an abundant number, since it is smaller than the sum of its proper divisors (24568633424).

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

13135704336 is a wasteful number, since it uses less digits than its factorization.

13135704336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30406740 (or 30406728 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 13135704336 in words is "thirteen billion, one hundred thirty-five million, seven hundred four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 30406723 60813446 91220169 121626892 182440338 243253784 273660507 364880676 486507568 547321014 729761352 820981521 1094642028 1459522704 1641963042 2189284056 3283926084 4378568112 6567852168 13135704336