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67828990068 = 223272924473793
BaseRepresentation
bin111111001010111011…
…000100000001110100
320111002010012201010100
4333022323010001310
52102403210140233
651054334354100
74620602621430
oct771273040164
9214063181110
1067828990068
1126847773194
121118b95b930
13651c7263a8
1433d65639c0
151b6ec1d813
hexfcaec4074

67828990068 has 144 divisors (see below), whose sum is σ = 202843630080. Its totient is φ = 18698867712.

The previous prime is 67828990063. The next prime is 67828990079. The reversal of 67828990068 is 86009982876.

67828990068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 67828989987 and 67828990014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67828990063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17880780 + ... + 17884572.

It is an arithmetic number, because the mean of its divisors is an integer number (1408636320).

Almost surely, 267828990068 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 67828990068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101421815040).

67828990068 is an abundant number, since it is smaller than the sum of its proper divisors (135014640012).

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

67828990068 is a wasteful number, since it uses less digits than its factorization.

67828990068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 67828990068 in words is "sixty-seven billion, eight hundred twenty-eight million, nine hundred ninety thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 2447 3654 3793 4894 7308 7341 7586 9788 11379 14682 15172 17129 22023 22758 26551 29364 34137 34258 44046 45516 51387 53102 68274 68516 70963 79653 88092 102774 106204 109997 136548 141926 154161 159306 205548 212889 219994 238959 283852 308322 318612 329991 425778 439988 477918 496741 616644 638667 659982 769979 851556 955836 989973 993482 1277334 1319964 1490223 1539958 1979946 1986964 2309937 2554668 2980446 3079916 3959892 4470669 4619874 5960892 6929811 8941338 9239748 9281471 13859622 17882676 18562942 27719244 27844413 37125884 55688826 64970297 83533239 111377652 129940594 167066478 194910891 259881188 269162659 334132956 389821782 538325318 584732673 779643564 807487977 1076650636 1169465346 1614975954 1884138613 2338930692 2422463931 3229951908 3768277226 4844927862 5652415839 7536554452 9689855724 11304831678 16957247517 22609663356 33914495034 67828990068