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824311113428 = 2211415318734603
BaseRepresentation
bin10111111111011001100…
…01010110011011010100
32220210200122210021002002
423333230301112123110
5102001142121112203
61430403331534432
7113361124566515
oct13775461263324
92823618707062
10824311113428
11298652152080
1211391015a418
135c9698650aa
142bc7b028a0c
1516697789d88
hexbfecc566d4

824311113428 has 96 divisors (see below), whose sum is σ = 1643717722752. Its totient is φ = 358381670400.

The previous prime is 824311113419. The next prime is 824311113443.

It is a happy number.

824311113428 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8243111134282 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 824311113391 and 824311113400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179078975 + ... + 179083577.

It is an arithmetic number, because the mean of its divisors is an integer number (17122059612).

Almost surely, 2824311113428 is an apocalyptic number.

It is an amenable number.

824311113428 is a deficient number, since it is larger than the sum of its proper divisors (819406609324).

824311113428 is a wasteful number, since it uses less digits than its factorization.

824311113428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6583 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

It can be divided in two parts, 824311 and 113428, that added together give a palindrome (937739).

The spelling of 824311113428 in words is "eight hundred twenty-four billion, three hundred eleven million, one hundred thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 4 11 22 41 44 53 82 106 164 212 451 583 902 1166 1804 1873 2173 2332 3746 4346 4603 7492 8692 9206 18412 20603 23903 41206 47806 50633 76793 82412 95612 99269 101266 153586 188723 198538 202532 243959 307172 377446 397076 487918 754892 844723 975836 1091959 1689446 2075953 2183918 2683549 3378892 4070029 4151906 4367836 5367098 8140058 8303812 8621419 10002319 10734196 16280116 17242838 20004638 34485676 40009276 44770319 89540638 94835609 110025509 179081276 189671218 220051018 353478179 379342436 440102036 456935207 706956358 913870414 1413912716 1827740828 3888259969 5026287277 7776519938 10052574554 15553039876 18734343487 20105149108 37468686974 74937373948 206077778357 412155556714 824311113428