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2055624714 = 2321121379919
BaseRepresentation
bin111101010000110…
…0101100000001010
312022021000112222200
41322201211200022
513202214442324
6535551101030
7101640343653
oct17241454012
95267015880
102055624714
1196538a300
12494511776
13269b519b0
1415701852a
15c06edec9
hex7a86580a

2055624714 has 144 divisors (see below), whose sum is σ = 5344684800. Its totient is φ = 567103680.

The previous prime is 2055624691. The next prime is 2055624733. The reversal of 2055624714 is 4174265502.

It is a happy number.

2055624714 is a `hidden beast` number, since 20 + 5 + 5 + 624 + 7 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2236347 + ... + 2237265.

Almost surely, 22055624714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055624714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672342400).

2055624714 is an abundant number, since it is smaller than the sum of its proper divisors (3289060086).

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

2055624714 is a wasteful number, since it uses less digits than its factorization.

2055624714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2055624714 is about 45338.9977171971. The cubic root of 2055624714 is about 1271.4948636550.

It can be divided in two parts, 205562 and 4714, that added together give a triangular number (210276 = T648).

The spelling of 2055624714 in words is "two billion, fifty-five million, six hundred twenty-four thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 79 99 117 121 143 158 198 234 237 242 286 363 429 474 711 726 858 869 919 1027 1089 1287 1422 1573 1738 1838 2054 2178 2574 2607 2757 3081 3146 4719 5214 5514 6162 7821 8271 9243 9438 9559 10109 11297 11947 14157 15642 16542 18486 19118 20218 22594 23894 28314 28677 30327 33891 35841 57354 60654 67782 71682 72601 86031 90981 101673 107523 111199 124267 131417 145202 172062 181962 203346 215046 217803 222398 248534 262834 333597 372801 394251 435606 653409 667194 745602 788502 798611 943813 1000791 1118403 1182753 1306818 1445587 1597222 1887626 2001582 2236806 2365506 2395833 2831439 2891174 4336761 4791666 5662878 7187499 8494317 8673522 8784721 10381943 13010283 14374998 16988634 17569442 20763886 26020566 26354163 31145829 52708326 62291658 79062489 93437487 114201373 158124978 186874974 228402746 342604119 685208238 1027812357 2055624714