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7007116221 = 337238319421
BaseRepresentation
bin1101000011010100…
…00001101110111101
3200002100010101102000
412201222001232331
5103322310204341
63115150452513
7335433335160
oct64152015675
920070111360
107007116221
112a76375146
121436804139
13878928021
144a688dad7
152b02728b6
hex1a1a81bbd

7007116221 has 64 divisors (see below), whose sum is σ = 12529520640. Its totient is φ = 3783637440.

The previous prime is 7007116201. The next prime is 7007116261. The reversal of 7007116221 is 1226117007.

It is not a de Polignac number, because 7007116221 - 215 = 7007083453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7007116201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351091 + ... + 370511.

It is an arithmetic number, because the mean of its divisors is an integer number (195773760).

Almost surely, 27007116221 is an apocalyptic number.

It is an amenable number.

7007116221 is a deficient number, since it is larger than the sum of its proper divisors (5522404419).

7007116221 is a wasteful number, since it uses less digits than its factorization.

7007116221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19543 (or 19537 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 7007116221 is about 83708.5194051358. The cubic root of 7007116221 is about 1913.5791937584.

The spelling of 7007116221 in words is "seven billion, seven million, one hundred sixteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 63 69 83 161 189 207 249 483 581 621 747 1449 1743 1909 2241 4347 5229 5727 13363 15687 17181 19421 40089 51543 58263 120267 135947 174789 360801 407841 446683 524367 1223523 1340049 1611943 3126781 3670569 4020147 4835829 9380343 11283601 12060441 14507487 28141029 33850803 37074689 43522461 84423087 101552409 111224067 259522823 304657227 333672201 778568469 1001016603 2335705407 7007116221