Search a number
-
+
61613761297517 = 11132055120965669
BaseRepresentation
bin11100000001001100100100…
…10110101111110001101101
322002011012212221222100021022
432000212102112233301231
531033434440343010032
6335012545435343525
715656306304561422
oct1600462226576155
9262135787870238
1061613761297517
11186a5281a92050
126ab11abbb1ba5
13284c1ca7c8010
14113019c921d49
1571caae368512
hex3809925afc6d

61613761297517 has 16 divisors (see below), whose sum is σ = 72388923573120. Its totient is φ = 51701337288000.

The previous prime is 61613761297507. The next prime is 61613761297547. The reversal of 61613761297517 is 71579216731616.

61613761297517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 61613761297517 - 232 = 61609466330221 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 61613761297517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61613761297507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7544042 + ... + 13421627.

It is an arithmetic number, because the mean of its divisors is an integer number (4524307723320).

Almost surely, 261613761297517 is an apocalyptic number.

It is an amenable number.

61613761297517 is a deficient number, since it is larger than the sum of its proper divisors (10775162275603).

61613761297517 is a wasteful number, since it uses less digits than its factorization.

61613761297517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20986244.

The product of its digits is 20003760, while the sum is 62.

The spelling of 61613761297517 in words is "sixty-one trillion, six hundred thirteen billion, seven hundred sixty-one million, two hundred ninety-seven thousand, five hundred seventeen".

Divisors: 1 11 13 143 20551 226061 267163 2938793 20965669 230622359 272553697 2998090667 430865463619 4739520099809 5601251027047 61613761297517