Search a number
-
+
106464514766 = 21931372442631
BaseRepresentation
bin110001100100111000…
…1111001001011001110
3101011210200202201101112
41203021301321023032
53221014403433031
6120524212012022
710456201305221
oct1431161711316
9334720681345
10106464514766
1141173496795
1218772901012
13a068bb79cc
14521d8295b8
152b81a2b62b
hex18c9c792ce

106464514766 has 32 divisors (see below), whose sum is σ = 178214430720. Its totient is φ = 47484727200.

The previous prime is 106464514757. The next prime is 106464514769. The reversal of 106464514766 is 667415464601.

It is a super-2 number, since 2×1064645147662 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106464514769) 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 15 ways as a sum of consecutive naturals, for example, 1177730 + ... + 1264901.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200960).

Almost surely, 2106464514766 is an apocalyptic number.

106464514766 is a deficient number, since it is larger than the sum of its proper divisors (71749915954).

106464514766 is a wasteful number, since it uses less digits than its factorization.

106464514766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442720.

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 106464514766 in words is "one hundred six billion, four hundred sixty-four million, five hundred fourteen thousand, seven hundred sixty-six".

Divisors: 1 2 19 31 37 38 62 74 589 703 1147 1178 1406 2294 21793 43586 2442631 4885262 46409989 75721561 90377347 92819978 151443122 180754694 1438709659 1717169593 2801697757 2877419318 3434339186 5603395514 53232257383 106464514766