Search a number
-
+
96575106031 = 3141677115973
BaseRepresentation
bin101100111110001010…
…0110010101111101111
3100020021111002200221221
41121330110302233233
53040241211343111
6112211015404211
76656135566615
oct1317424625757
9306244080857
1096575106031
1137a59147618
1216872983667
1391510aba71
1449622536b5
1527a3716371
hex167c532bef

96575106031 has 32 divisors (see below), whose sum is σ = 105112498176. Its totient is φ = 88548768000.

The previous prime is 96575105993. The next prime is 96575106041. The reversal of 96575106031 is 13060157569.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 96575106031 - 231 = 94427622383 is a prime.

It is a super-2 number, since 2×965751060312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96575106041) 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 31 ways as a sum of consecutive naturals, for example, 6038161 + ... + 6054133.

It is an arithmetic number, because the mean of its divisors is an integer number (3284765568).

Almost surely, 296575106031 is an apocalyptic number.

96575106031 is a deficient number, since it is larger than the sum of its proper divisors (8537392145).

96575106031 is a wasteful number, since it uses less digits than its factorization.

96575106031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16183.

The product of its (nonzero) digits is 170100, while the sum is 43.

The spelling of 96575106031 in words is "ninety-six billion, five hundred seventy-five million, one hundred six thousand, thirty-one".

Divisors: 1 31 41 67 71 1271 2077 2201 2747 2911 4757 15973 85157 90241 147467 195037 495163 654893 1070191 1134083 6046147 20301683 33175921 35156573 43877831 46497403 75983561 1360212761 1441419493 2355490391 3115326001 96575106031