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7987525668 = 223510975391
BaseRepresentation
bin1110111000001011…
…11111100000100100
3202121122221100100000
413130011333200210
5112324301310133
63400332221300
7401636563563
oct73405774044
922548840300
107987525668
113429828291
12166b00a830
139a3a96265
1455ab7bbda
1531b384413
hex1dc17f824

7987525668 has 72 divisors (see below), whose sum is σ = 21130869760. Its totient is φ = 2638046880.

The previous prime is 7987525661. The next prime is 7987525699. The reversal of 7987525668 is 8665257897.

It is not an unprimeable number, because it can be changed into a prime (7987525661) 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 23 ways as a sum of consecutive naturals, for example, 68253 + ... + 143643.

Almost surely, 27987525668 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 7987525668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565434880).

7987525668 is an abundant number, since it is smaller than the sum of its proper divisors (13143344092).

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

7987525668 is a wasteful number, since it uses less digits than its factorization.

7987525668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75519 (or 75505 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The square root of 7987525668 is about 89372.9582591961. The cubic root of 7987525668 is about 1998.9599315559.

The spelling of 7987525668 in words is "seven billion, nine hundred eighty-seven million, five hundred twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 436 486 654 972 981 1308 1962 2943 3924 5886 8829 11772 17658 26487 35316 52974 75391 105948 150782 226173 301564 452346 678519 904692 1357038 2035557 2714076 4071114 6106671 8142228 8217619 12213342 16435238 18320013 24426684 24652857 32870476 36640026 49305714 73280052 73958571 98611428 147917142 221875713 295834284 443751426 665627139 887502852 1331254278 1996881417 2662508556 3993762834 7987525668