Search a number
-
+
93131367967 = 1127611011407
BaseRepresentation
bin101011010111100001…
…1111110011000011111
322220101111002200102201
41112233003332120133
53011213112233332
6110441200232331
76504611365141
oct1265703763037
9286344080381
1093131367967
1136551258200
121607160b6a7
138a227b0b31
144716b3cc91
15265121e5e7
hex15af0fe61f

93131367967 has 12 divisors (see below), whose sum is σ = 102502155168. Its totient is φ = 84553541600.

The previous prime is 93131367947. The next prime is 93131367991. The reversal of 93131367967 is 76976313139.

It is not a de Polignac number, because 93131367967 - 231 = 90983884319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93131367947) 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 11 ways as a sum of consecutive naturals, for example, 413623 + ... + 597784.

It is an arithmetic number, because the mean of its divisors is an integer number (8541846264).

Almost surely, 293131367967 is an apocalyptic number.

93131367967 is a deficient number, since it is larger than the sum of its proper divisors (9370787201).

93131367967 is a wasteful number, since it uses less digits than its factorization.

93131367967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012190 (or 1012179 counting only the distinct ones).

The product of its digits is 3857868, while the sum is 55.

The spelling of 93131367967 in words is "ninety-three billion, one hundred thirty-one million, three hundred sixty-seven thousand, nine hundred sixty-seven".

Divisors: 1 11 121 761 8371 92081 1011407 11125477 122380247 769680727 8466487997 93131367967