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7137325668 = 223111092112351
BaseRepresentation
bin1101010010110101…
…01111001001100100
3200102102010201012010
412221122233021210
5104104123410133
63140121354220
7341604160434
oct65132571144
920372121163
107137325668
11303291a460
121472338970
138998b7c35
144b9ca62c4
152bb8e3263
hex1a96af264

7137325668 has 96 divisors (see below), whose sum is σ = 18429143040. Its totient is φ = 2131920000.

The previous prime is 7137325651. The next prime is 7137325673. The reversal of 7137325668 is 8665237317.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3034693 + ... + 3037043.

It is an arithmetic number, because the mean of its divisors is an integer number (191970240).

Almost surely, 27137325668 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 7137325668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214571520).

7137325668 is an abundant number, since it is smaller than the sum of its proper divisors (11291817372).

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

7137325668 is a wasteful number, since it uses less digits than its factorization.

7137325668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2687 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 7137325668 is about 84482.6944882797. The cubic root of 7137325668 is about 1925.3595251801.

It can be divided in two parts, 713732 and 5668, that added together give a triangular number (719400 = T1199).

The spelling of 7137325668 in words is "seven billion, one hundred thirty-seven million, three hundred twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 211 218 327 422 436 633 654 844 1199 1266 1308 2321 2351 2398 2532 3597 4642 4702 4796 6963 7053 7194 9284 9404 13926 14106 14388 22999 25861 27852 28212 45998 51722 68997 77583 91996 103444 137994 155166 252989 256259 275988 310332 496061 505978 512518 758967 768777 992122 1011956 1025036 1488183 1517934 1537554 1984244 2818849 2976366 3035868 3075108 5456671 5637698 5952732 8456547 10913342 11275396 16370013 16913094 21826684 32740026 33826188 54070649 65480052 108141298 162211947 216282596 324423894 594777139 648847788 1189554278 1784331417 2379108556 3568662834 7137325668