Search a number
-
+
1836045981 = 337111953877
BaseRepresentation
bin110110101101111…
…1101011010011101
311201221211210121000
41231123331122131
512230011432411
6502104500513
763333063510
oct15533753235
94657753530
101836045981
11862444580
12432a7a739
13233500c53
14135bbad77
15ab2c8956
hex6d6fd69d

1836045981 has 128 divisors (see below), whose sum is σ = 3641241600. Its totient is φ = 885530880.

The previous prime is 1836045979. The next prime is 1836045989. The reversal of 1836045981 is 1895406381.

It is not a de Polignac number, because 1836045981 - 21 = 1836045979 is a prime.

It is a super-2 number, since 2×18360459812 = 6742129688692504722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1836045989) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2093115 + ... + 2093991.

It is an arithmetic number, because the mean of its divisors is an integer number (28447200).

Almost surely, 21836045981 is an apocalyptic number.

1836045981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1836045981 is a deficient number, since it is larger than the sum of its proper divisors (1805195619).

1836045981 is a wasteful number, since it uses less digits than its factorization.

1836045981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1836045981 is about 42849.1071202190. The cubic root of 1836045981 is about 1224.5067526349.

The spelling of 1836045981 in words is "one billion, eight hundred thirty-six million, forty-five thousand, nine hundred eighty-one".

Divisors: 1 3 7 9 11 19 21 27 33 53 57 63 77 99 133 159 171 189 209 231 297 371 399 477 513 583 627 693 877 1007 1113 1197 1431 1463 1749 1881 2079 2631 3021 3339 3591 4081 4389 5247 5643 6139 7049 7893 9063 9647 10017 11077 12243 13167 15741 16663 18417 21147 23679 27189 28941 33231 36729 39501 46481 49989 55251 63441 67529 77539 86823 99693 110187 116641 139443 149967 165753 183293 190323 202587 232617 260469 299079 325367 349923 418329 449901 511291 549879 607761 697851 883139 976101 1049769 1254987 1283051 1533873 1649637 1823283 2093553 2649417 2928303 3149307 3579037 3849153 4601619 4948911 6181973 7948251 8784909 9714529 10737111 11547459 13804857 18545919 23844753 29143587 32211333 34642377 55637757 68001703 87430761 96633999 166913271 204005109 262292283 612015327 1836045981