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68058075288 = 23372195129663
BaseRepresentation
bin111111011000100100…
…111101000010011000
320111200002021102222010
4333120210331002120
52103340331402123
651133200425520
74626354044400
oct773044750230
9214602242863
1068058075288
1126955011315
12112346182a0
136558025188
143418b57800
151b84dc0993
hexfd893d098

68058075288 has 96 divisors (see below), whose sum is σ = 198032117760. Its totient is φ = 19434542400.

The previous prime is 68058075287. The next prime is 68058075289. The reversal of 68058075288 is 88257085086.

68058075288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (68058075287) and next prime (68058075289).

It is a super-2 number, since 2×680580752882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68058075287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2279545 + ... + 2309207.

It is an arithmetic number, because the mean of its divisors is an integer number (2062834560).

Almost surely, 268058075288 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 68058075288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99016058880).

68058075288 is an abundant number, since it is smaller than the sum of its proper divisors (129974042472).

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

68058075288 is a wasteful number, since it uses less digits than its factorization.

68058075288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31637 (or 31626 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 57.

The spelling of 68058075288 in words is "sixty-eight billion, fifty-eight million, seventy-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1951 3902 5853 7804 11706 13657 15608 23412 27314 29663 40971 46824 54628 59326 81942 88989 95599 109256 118652 163884 177978 191198 207641 237304 286797 327768 355956 382396 415282 573594 622923 711912 764792 830564 1147188 1245846 1453487 1661128 2294376 2491692 2906974 4360461 4983384 5813948 8720922 11627896 17441844 34883688 57872513 115745026 173617539 231490052 347235078 405107591 462980104 694470156 810215182 1215322773 1388940312 1620430364 2430645546 2835753137 3240860728 4861291092 5671506274 8507259411 9722582184 11343012548 17014518822 22686025096 34029037644 68058075288