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2122424431452 = 2233132377635969
BaseRepresentation
bin11110111000101010010…
…110101011001101011100
321111220100102000100012000
4132320222112223031130
5234233211123301302
64303010041242300
7306224441000523
oct36705226531534
97456312010160
102122424431452
1174912a295166
122a340b793390
131251b3b0c860
1474a23bb54ba
153a320c3331c
hex1ee2a5ab35c

2122424431452 has 96 divisors (see below), whose sum is σ = 5928359707200. Its totient is φ = 652777906176.

The previous prime is 2122424431441. The next prime is 2122424431483. The reversal of 2122424431452 is 2541344242212.

2122424431452 is a `hidden beast` number, since 2 + 12 + 242 + 44 + 314 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3019324 + ... + 3655292.

It is an arithmetic number, because the mean of its divisors is an integer number (61753746950).

Almost surely, 22122424431452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122424431452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964179853600).

2122424431452 is an abundant number, since it is smaller than the sum of its proper divisors (3805935275748).

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

2122424431452 is a wasteful number, since it uses less digits than its factorization.

2122424431452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638372 (or 638364 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 2122424431452 its reverse (2541344242212), we get a palindrome (4663768673664).

The spelling of 2122424431452 in words is "two trillion, one hundred twenty-two billion, four hundred twenty-four million, four hundred thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2377 4754 7131 9508 14262 21393 28524 30901 42786 61802 64179 85572 92703 123604 128358 185406 256716 278109 370812 556218 635969 834327 1112436 1271938 1668654 1907907 2543876 3337308 3815814 5723721 7631628 8267597 11447442 16535194 17171163 22894884 24802791 33070388 34342326 49605582 68684652 74408373 99211164 148816746 223225119 297633492 446450238 892900476 1511698313 3023396626 4535094939 6046793252 9070189878 13605284817 18140379756 19652078069 27210569634 39304156138 40815854451 54421139268 58956234207 78608312276 81631708902 117912468414 163263417804 176868702621 235824936828 353737405242 530606107863 707474810484 1061212215726 2122424431452