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7213442652 = 223213172114297
BaseRepresentation
bin1101011011111010…
…00110011001011100
3200121201100212001200
412231331012121130
5104233120131102
63151441035500
7343520152023
oct65575063134
920551325050
107213442652
113071889259
121493925b90
138ac5b8a80
144c603b8ba
152c342b51c
hex1adf4665c

7213442652 has 144 divisors (see below), whose sum is σ = 20895088032. Its totient is φ = 2078576640.

The previous prime is 7213442651. The next prime is 7213442671. The reversal of 7213442652 is 2562443127.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7213442651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676568 + ... + 1680864.

It is an arithmetic number, because the mean of its divisors is an integer number (145104778).

Almost surely, 27213442652 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 7213442652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447544016).

7213442652 is an abundant number, since it is smaller than the sum of its proper divisors (13681645380).

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

7213442652 is a wasteful number, since it uses less digits than its factorization.

7213442652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4543 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 7213442652 is about 84931.9883907118. The cubic root of 7213442652 is about 1932.1797570744.

Adding to 7213442652 its reverse (2562443127), we get a palindrome (9775885779).

The spelling of 7213442652 in words is "seven billion, two hundred thirteen million, four hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 211 221 234 306 422 442 468 612 633 663 844 884 1266 1326 1899 1989 2532 2652 2743 3587 3798 3978 4297 5486 7174 7596 7956 8229 8594 10761 10972 12891 14348 16458 17188 21522 24687 25782 32283 32916 38673 43044 46631 49374 51564 55861 64566 73049 77346 93262 98748 111722 129132 139893 146098 154692 167583 186524 219147 223444 279786 292196 335166 419679 438294 502749 559572 657441 670332 839358 876588 906667 949637 1005498 1314882 1678716 1813334 1899274 2010996 2629764 2720001 2848911 3626668 3798548 5440002 5697822 8160003 8546733 10880004 11395644 11786671 15413339 16320006 17093466 23573342 30826678 32640012 34186932 35360013 46240017 47146684 61653356 70720026 92480034 106080039 138720051 141440052 184960068 200373407 212160078 277440102 400746814 424320156 554880204 601120221 801493628 1202240442 1803360663 2404480884 3606721326 7213442652