Search a number
-
+
10677542119 = 19243798707
BaseRepresentation
bin10011111000110111…
…00101110011100111
31000120010200100011221
421330123211303213
5133331422321434
64523304441211
7525412416256
oct117433456347
930503610157
1010677542119
11458a215482
12209ba79207
13101219577a
1473413279d
154275e62b4
hex27c6e5ce7

10677542119 has 24 divisors (see below), whose sum is σ = 11678472960. Its totient is φ = 9754132752.

The previous prime is 10677542077. The next prime is 10677542129. The reversal of 10677542119 is 91124577601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-10677542119 is a prime.

It is a super-2 number, since 2×106775421192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677542129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221964 + ... + 1230670.

It is an arithmetic number, because the mean of its divisors is an integer number (486603040).

Almost surely, 210677542119 is an apocalyptic number.

10677542119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10677542119 is a deficient number, since it is larger than the sum of its proper divisors (1000930841).

10677542119 is an equidigital number, since it uses as much as digits as its factorization.

10677542119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 10677542119 in words is "ten billion, six hundred seventy-seven million, five hundred forty-two thousand, one hundred nineteen".

Divisors: 1 19 43 79 361 817 1501 3397 8707 15523 28519 64543 165433 374401 687853 1226317 3143227 7113619 13069207 29577679 135158761 248314933 561975901 10677542119