Search a number
-
+
65831382672093 = 3217430270474981
BaseRepresentation
bin11101111011111100100000…
…01011011110001011011101
322122002102022020200022021200
432331332100023132023131
532112040132431001333
6352002304130550113
716603106014004463
oct1675762013361335
9278072266608250
1065831382672093
1119a80a293303a5
127472690a38339
132a96b4657687c
141238382370833
1579265a7b0c13
hex3bdf902de2dd

65831382672093 has 12 divisors (see below), whose sum is σ = 100683291145788. Its totient is φ = 41305965598080.

The previous prime is 65831382672071. The next prime is 65831382672119. The reversal of 65831382672093 is 39027628313856.

It is a happy number.

65831382672093 is a `hidden beast` number, since 6 + 58 + 313 + 8 + 2 + 67 + 209 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52815291712569 + 13016090959524 = 7267413^2 + 3607782^2 .

It is not a de Polignac number, because 65831382672093 - 28 = 65831382671837 is a prime.

It is a super-2 number, since 2×658313826720932 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 65831382672093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65831382672193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215135237338 + ... + 215135237643.

It is an arithmetic number, because the mean of its divisors is an integer number (8390274262149).

Almost surely, 265831382672093 is an apocalyptic number.

It is an amenable number.

65831382672093 is a deficient number, since it is larger than the sum of its proper divisors (34851908473695).

65831382672093 is a wasteful number, since it uses less digits than its factorization.

65831382672093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430270475004 (or 430270475001 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 65831382672093 in words is "sixty-five trillion, eight hundred thirty-one billion, three hundred eighty-two million, six hundred seventy-two thousand, ninety-three".

Divisors: 1 3 9 17 51 153 430270474981 1290811424943 3872434274829 7314598074677 21943794224031 65831382672093