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7244164080252 = 223211291039607127
BaseRepresentation
bin110100101101010100111…
…0100111010001001111100
3221122112110020202101121200
41221122221310322021330
51422142022001032002
623223531213055500
71345242065463531
oct151325164721174
927575406671550
107244164080252
11234326184a720
1298bb73a87590
1340717760a468
141b089594ad88
15c8685ee1b1c
hex696a9d3a27c

7244164080252 has 144 divisors (see below), whose sum is σ = 20685093811200. Its totient is φ = 2117461207680.

The previous prime is 7244164080247. The next prime is 7244164080253. The reversal of 7244164080252 is 2520804614427.

7244164080252 is a `hidden beast` number, since 72 + 4 + 416 + 40 + 80 + 2 + 52 = 666.

It is a super-2 number, since 2×72441640802522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7244164080198 and 7244164080207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7244164080253) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11628313 + ... + 12235439.

It is an arithmetic number, because the mean of its divisors is an integer number (143646484800).

Almost surely, 27244164080252 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 7244164080252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342546905600).

7244164080252 is an abundant number, since it is smaller than the sum of its proper divisors (13440929730948).

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

7244164080252 is a wasteful number, since it uses less digits than its factorization.

7244164080252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608216 (or 608211 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

Adding to 7244164080252 its reverse (2520804614427), we get a palindrome (9764968694679).

The spelling of 7244164080252 in words is "seven trillion, two hundred forty-four billion, one hundred sixty-four million, eighty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1039 1044 1276 1914 2078 2871 3117 3828 4156 5742 6234 9351 11429 11484 12468 18702 22858 30131 34287 37404 45716 60262 68574 90393 102861 120524 137148 180786 205722 271179 331441 361572 411444 542358 607127 662882 994323 1084716 1214254 1325764 1821381 1988646 2428508 2982969 3642762 3977292 5464143 5965938 6678397 7285524 10928286 11931876 13356794 17606683 20035191 21856572 26713588 35213366 40070382 52820049 60105573 70426732 80140764 105640098 120211146 158460147 193673513 211280196 240422292 316920294 387347026 581020539 630804953 633840588 774694052 1162041078 1261609906 1743061617 1892414859 2324082156 2523219812 3486123234 3784829718 5677244577 6938854483 6972246468 7569659436 11354489154 13877708966 18293343637 20816563449 22708978308 27755417932 36586687274 41633126898 54880030911 62449690347 73173374548 83266253796 109760061822 124899380694 164640092733 201226780007 219520123644 249798761388 329280185466 402453560014 603680340021 658560370932 804907120028 1207360680042 1811041020063 2414721360084 3622082040126 7244164080252