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12034454445 = 33513173111297
BaseRepresentation
bin10110011010100111…
…10011001110101101
31011001200221121222000
423031103303032231
5144121310020240
65310100042513
7604140114006
oct131523631655
934050847860
1012034454445
115116154822
1223ba393439
13119a339180
1482242a1ad
154a67c9430
hex2cd4f33ad

12034454445 has 128 divisors (see below), whose sum is σ = 24492948480. Its totient is φ = 5553930240.

The previous prime is 12034454429. The next prime is 12034454449. The reversal of 12034454445 is 54445443021.

12034454445 is a `hidden beast` number, since 1 + 203 + 4 + 4 + 5 + 4 + 445 = 666.

It is not a de Polignac number, because 12034454445 - 24 = 12034454429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034454449) 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, 9278037 + ... + 9279333.

It is an arithmetic number, because the mean of its divisors is an integer number (191351160).

Almost surely, 212034454445 is an apocalyptic number.

12034454445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12034454445 is an abundant number, since it is smaller than the sum of its proper divisors (12458494035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12034454445 is a wasteful number, since it uses less digits than its factorization.

12034454445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 12034454445 its reverse (54445443021), we get a palindrome (66479897466).

The spelling of 12034454445 in words is "twelve billion, thirty-four million, four hundred fifty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 195 221 255 311 351 459 585 663 765 933 1105 1297 1555 1755 1989 2295 2799 3315 3891 4043 4665 5287 5967 6485 8397 9945 11673 12129 13995 15861 16861 19455 20215 22049 26435 29835 35019 36387 41985 47583 50583 58365 60645 66147 68731 79305 84305 109161 110245 142749 151749 175095 181935 198441 206193 237915 252915 286637 330735 343655 403367 455247 545805 595323 618579 713745 758745 859911 992205 1030965 1210101 1433185 1855737 2016835 2276235 2579733 2976615 3092895 3630303 4299555 5243771 6050505 6857239 7739199 9278685 10890909 12898665 15731313 18151515 20571717 26218855 34286195 38695995 47193939 54454545 61715151 78656565 89144107 102858585 141581817 185145453 235969695 267432321 308575755 445720535 707909085 802296963 925727265 1337161605 2406890889 4011484815 12034454445