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7993699168 = 257132819769
BaseRepresentation
bin1110111000111011…
…00010101101100000
3202122002112222210011
413130131202231200
5112332341333133
63401112414304
7402043215250
oct73435425540
922562488704
107993699168
113432264554
1216710a7394
139a5148210
1455b907960
1531bba36cd
hex1dc762b60

7993699168 has 96 divisors (see below), whose sum is σ = 19440267840. Its totient is φ = 3150766080.

The previous prime is 7993699139. The next prime is 7993699169. The reversal of 7993699168 is 8619963997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993699169) 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 15 ways as a sum of consecutive naturals, for example, 813388 + ... + 823156.

It is an arithmetic number, because the mean of its divisors is an integer number (202502790).

Almost surely, 27993699168 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 7993699168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720133920).

7993699168 is an abundant number, since it is smaller than the sum of its proper divisors (11446568672).

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

7993699168 is a wasteful number, since it uses less digits than its factorization.

7993699168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10072 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 67.

The square root of 7993699168 is about 89407.4894402029. The cubic root of 7993699168 is about 1999.4747927574.

The spelling of 7993699168 in words is "seven billion, nine hundred ninety-three million, six hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 281 364 416 562 728 1124 1456 1967 2248 2912 3653 3934 4496 7306 7868 8992 9769 14612 15736 19538 25571 29224 31472 39076 51142 58448 62944 68383 78152 102284 116896 126997 136766 156304 204568 253994 273532 312608 409136 507988 547064 818272 888979 1015976 1094128 1777958 2031952 2188256 2745089 3555916 4063904 5490178 7111832 10980356 14223664 19215623 21960712 28447328 35686157 38431246 43921424 71372314 76862492 87842848 142744628 153724984 249803099 285489256 307449968 499606198 570978512 614899936 999212396 1141957024 1998424792 3996849584 7993699168