Search a number
-
+
13245563640064 = 28722333145729
BaseRepresentation
bin1100000010111111100100…
…0111011001100100000000
31201220021010002210221122111
43000233321013121210000
53214003403242440224
644100532233345104
72534650262165230
oct300577107314400
951807102727574
1013245563640064
114247459400078
12159b0b4568194
137510888c3552
1433b135575cc0
1517e832c83d94
hexc0bf91d9900

13245563640064 has 72 divisors (see below), whose sum is σ = 30351942709760. Its totient is φ = 5651214041088.

The previous prime is 13245563640047. The next prime is 13245563640079. The reversal of 13245563640064 is 46004636554231.

It is a super-2 number, since 2×132455636400642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16173249 + ... + 16972480.

Almost surely, 213245563640064 is an apocalyptic number.

13245563640064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13245563640064 is an abundant number, since it is smaller than the sum of its proper divisors (17106379069696).

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

13245563640064 is an equidigital number, since it uses as much as digits as its factorization.

13245563640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33145975 (or 33145961 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 13245563640064 in words is "thirteen trillion, two hundred forty-five billion, five hundred sixty-three million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 223 224 256 446 448 892 896 1561 1784 1792 3122 3568 6244 7136 12488 14272 24976 28544 49952 57088 99904 199808 399616 33145729 66291458 132582916 232020103 265165832 464040206 530331664 928080412 1060663328 1856160824 2121326656 3712321648 4242653312 7391497567 7424643296 8485306624 14782995134 14849286592 29565990268 29698573184 51740482969 59131980536 59397146368 103480965938 118263961072 206961931876 236527922144 413923863752 473055844288 827847727504 946111688576 1655695455008 1892223377152 3311390910016 6622781820032 13245563640064