Search a number
-
+
11146838703 = 37111323161387
BaseRepresentation
bin10100110000110011…
…10100001010101111
31001202211202002001220
422120121310022233
5140312042314303
65042031234423
7543141365010
oct123031641257
931684662056
1011146838703
1148001109a0
1221b1078a13
13108848a660
1477a5b5007
154538e7053
hex2986742af

11146838703 has 64 divisors (see below), whose sum is σ = 20822925312. Its totient is φ = 5112708480.

The previous prime is 11146838687. The next prime is 11146838743. The reversal of 11146838703 is 30783864111.

11146838703 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11146838703 - 24 = 11146838687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146838743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11625 + ... + 149762.

It is an arithmetic number, because the mean of its divisors is an integer number (325358208).

Almost surely, 211146838703 is an apocalyptic number.

11146838703 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11146838703 is a deficient number, since it is larger than the sum of its proper divisors (9676086609).

11146838703 is a wasteful number, since it uses less digits than its factorization.

11146838703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161444.

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 11146838703 in words is "eleven billion, one hundred forty-six million, eight hundred thirty-eight thousand, seven hundred three".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 143 161 231 253 273 299 429 483 759 897 1001 1771 2093 3003 3289 5313 6279 9867 23023 69069 161387 484161 1129709 1775257 2098031 3389127 3711901 5325771 6294093 11135703 12426799 14686217 23078341 25983307 37280397 40830911 44058651 48254713 69235023 77949921 122492733 144764139 161548387 285816377 337782991 484645161 530801843 857449131 1013348973 1592405529 3715612901 11146838703