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11166258919 = 292471012797
BaseRepresentation
bin10100110011000111…
…11001011011100111
31001211012021201121011
422121203321123213
5140332030241134
65044003403051
7543465430504
oct123143713347
931735251534
1011166258919
114810075662
1221b7683487
13108c4c9bca
1477cdcc4ab
15455481264
hex2998f96e7

11166258919 has 24 divisors (see below), whose sum is σ = 11931835968. Its totient is φ = 10443619200.

The previous prime is 11166258913. The next prime is 11166258947. The reversal of 11166258919 is 91985266111.

It is a happy number.

It is not a de Polignac number, because 11166258919 - 29 = 11166258407 is a prime.

It is a super-2 number, since 2×111662589192 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166258913) 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, 3990829 + ... + 3993625.

It is an arithmetic number, because the mean of its divisors is an integer number (497159832).

Almost surely, 211166258919 is an apocalyptic number.

11166258919 is a deficient number, since it is larger than the sum of its proper divisors (765577049).

11166258919 is a wasteful number, since it uses less digits than its factorization.

11166258919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2974 counting only the distinct ones).

The product of its digits is 233280, while the sum is 49.

The spelling of 11166258919 in words is "eleven billion, one hundred sixty-six million, two hundred fifty-eight thousand, nine hundred nineteen".

Divisors: 1 29 47 101 841 1363 2797 2929 4747 39527 81113 84941 131459 137663 282497 2352277 3812311 3992227 8192413 13277359 110557019 237579977 385043411 11166258919