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5667683868 = 223271111291811
BaseRepresentation
bin1010100011101000…
…11111111000011100
3112121222202011122100
411101310133320130
543101411340433
62334222045100
7260310342450
oct52164377034
915558664570
105667683868
112449294860
121122119790
136c42949c2
143baa26660
15232893b13
hex151d1fe1c

5667683868 has 144 divisors (see below), whose sum is σ = 17887484160. Its totient is φ = 1470009600.

The previous prime is 5667683863. The next prime is 5667683891. The reversal of 5667683868 is 8683867665.

5667683868 is a `hidden beast` number, since 566 + 7 + 6 + 8 + 3 + 8 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667683863) 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, 3128683 + ... + 3130493.

It is an arithmetic number, because the mean of its divisors is an integer number (124218640).

Almost surely, 25667683868 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 5667683868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943742080).

5667683868 is an abundant number, since it is smaller than the sum of its proper divisors (12219800292).

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

5667683868 is a wasteful number, since it uses less digits than its factorization.

5667683868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2963 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The square root of 5667683868 is about 75284.0213325510. The cubic root of 5667683868 is about 1782.9337501533.

The spelling of 5667683868 in words is "five billion, six hundred sixty-seven million, six hundred eighty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1129 1386 1811 2258 2772 3387 3622 4516 5433 6774 7244 7903 10161 10866 12419 12677 13548 15806 16299 19921 20322 21732 23709 24838 25354 31612 32598 37257 38031 39842 40644 47418 49676 50708 59763 65196 71127 74514 76062 79684 86933 94836 111771 114093 119526 139447 142254 149028 152124 173866 179289 223542 228186 239052 260799 278894 284508 347732 358578 418341 447084 456372 521598 557788 717156 782397 836682 1043196 1255023 1564794 1673364 2044619 2510046 3129588 4089238 5020092 6133857 8178476 12267714 14312333 18401571 22490809 24535428 28624666 36803142 42936999 44981618 57249332 67472427 73606284 85873998 89963236 128810997 134944854 157435663 171747996 202417281 257621994 269889708 314871326 404834562 472306989 515243988 629742652 809669124 944613978 1416920967 1889227956 2833841934 5667683868