Search a number
-
+
13106426525664 = 2531011351735409
BaseRepresentation
bin1011111010111001001111…
…1001011011011111100000
31201101221222101210012102020
42332232103321123133200
53204213430142310124
643513001554221440
72521623316215333
oct276562371333740
951357871705366
1013106426525664
1141a344a0a972a
121578143884880
13740c13a31964
143344d67a261a
1517addcbac379
hexbeb93e5b7e0

13106426525664 has 48 divisors (see below), whose sum is σ = 34745006978640. Its totient is φ = 4325553305600.

The previous prime is 13106426525663. The next prime is 13106426525707. The reversal of 13106426525664 is 46652562460131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106426525663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675858009 + ... + 675877400.

It is an arithmetic number, because the mean of its divisors is an integer number (723854312055).

Almost surely, 213106426525664 is an apocalyptic number.

It is an amenable number.

13106426525664 is an abundant number, since it is smaller than the sum of its proper divisors (21638580452976).

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

13106426525664 is a wasteful number, since it uses less digits than its factorization.

13106426525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351735523 (or 1351735515 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

Adding to 13106426525664 its reverse (46652562460131), we get a palindrome (59758988985795).

The spelling of 13106426525664 in words is "thirteen trillion, one hundred six billion, four hundred twenty-six million, five hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 1351735409 2703470818 4055206227 5406941636 8110412454 10813883272 16220824908 21627766544 32441649816 43255533088 64883299632 129766599264 136525276309 273050552618 409575828927 546101105236 819151657854 1092202210472 1638303315708 2184404420944 3276606631416 4368808841888 6553213262832 13106426525664