Search a number
-
+
61134504717 = 31113320344491
BaseRepresentation
bin111000111011111001…
…101000001100001101
312211210120100121122110
4320323321220030031
52000200413122332
644030152334233
74262653500426
oct707371501415
9184716317573
1061134504717
1123a2191a270
12ba219a4379
1359c37cc360
142d5d41464d
1518cc1524cc
hexe3be6830d

61134504717 has 32 divisors (see below), whose sum is σ = 95795191296. Its totient is φ = 34189675200.

The previous prime is 61134504647. The next prime is 61134504751. The reversal of 61134504717 is 71740543116.

It is a happy number.

It is not a de Polignac number, because 61134504717 - 226 = 61067395853 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61134504617) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1351842 + ... + 1396332.

It is an arithmetic number, because the mean of its divisors is an integer number (2993599728).

Almost surely, 261134504717 is an apocalyptic number.

It is an amenable number.

61134504717 is a deficient number, since it is larger than the sum of its proper divisors (34660686579).

61134504717 is a wasteful number, since it uses less digits than its factorization.

61134504717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47721.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 61134504717 in words is "sixty-one billion, one hundred thirty-four million, five hundred four thousand, seven hundred seventeen".

Divisors: 1 3 11 13 33 39 143 429 3203 9609 35233 41639 44491 105699 124917 133473 458029 489401 578383 1374087 1468203 1735149 6362213 19086639 142504673 427514019 1567551403 1852560749 4702654209 5557682247 20378168239 61134504717