Search a number
-
+
61217309961 = 3217419758857
BaseRepresentation
bin111001000000110101…
…100000010100001001
312212000100011120002100
4321000311200110021
52000333112404321
644042311224013
74265010356223
oct710065402411
9185010146070
1061217309961
1123a64637055
12ba45678009
135a07a02542
142d6a40b413
1518d455c326
hexe40d60509

61217309961 has 24 divisors (see below), whose sum is σ = 95910056424. Its totient is φ = 37474007040.

The previous prime is 61217309957. The next prime is 61217309987. The reversal of 61217309961 is 16990371216.

It can be written as a sum of positive squares in 4 ways, for example, as 3581304336 + 57636005625 = 59844^2 + 240075^2 .

It is not a de Polignac number, because 61217309961 - 22 = 61217309957 is a prime.

It is a super-2 number, since 2×612173099612 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61217309911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4873156 + ... + 4885701.

It is an arithmetic number, because the mean of its divisors is an integer number (3996252351).

Almost surely, 261217309961 is an apocalyptic number.

It is an amenable number.

61217309961 is a deficient number, since it is larger than the sum of its proper divisors (34692746463).

61217309961 is a wasteful number, since it uses less digits than its factorization.

61217309961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9758921 (or 9758918 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 61217309961 in words is "sixty-one billion, two hundred seventeen million, three hundred nine thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 9758857 29276571 87829713 165900569 400113137 497701707 1200339411 1493105121 3601018233 6801923329 20405769987 61217309961