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5667706616 = 23111359131641
BaseRepresentation
bin1010100011101001…
…00101011011111000
3112121222210022211212
411101310211123320
543101413102431
62334222342252
7260310465665
oct52164453370
915558708755
105667706616
1124492aa960
12112212a988
136c42a2170
143baa30a6c
1523289a72b
hex151d256f8

5667706616 has 128 divisors (see below), whose sum is σ = 12813292800. Its totient is φ = 2316288000.

The previous prime is 5667706613. The next prime is 5667706637. The reversal of 5667706616 is 6166077665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667706613) 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 31 ways as a sum of consecutive naturals, for example, 8841656 + ... + 8842296.

It is an arithmetic number, because the mean of its divisors is an integer number (100103850).

Almost surely, 25667706616 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 5667706616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406646400).

5667706616 is an abundant number, since it is smaller than the sum of its proper divisors (7145586184).

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

5667706616 is a wasteful number, since it uses less digits than its factorization.

5667706616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The square root of 5667706616 is about 75284.1724135957. The cubic root of 5667706616 is about 1782.9361354970.

The spelling of 5667706616 in words is "five billion, six hundred sixty-seven million, seven hundred six thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 44 52 59 88 104 118 131 143 236 262 286 472 524 572 641 649 767 1048 1144 1282 1298 1441 1534 1703 2564 2596 2882 3068 3406 5128 5192 5764 6136 6812 7051 7729 8333 8437 11528 13624 14102 15458 16666 16874 18733 28204 30916 33332 33748 37466 37819 56408 61832 66664 67496 74932 75638 83971 85019 91663 100477 149864 151276 167942 170038 183326 200954 302552 335884 340076 366652 401908 416009 491647 671768 680152 733304 803816 832018 923681 983294 1091623 1105247 1664036 1847362 1966588 2183246 2210494 3328072 3694724 3933176 4366492 4420988 4954289 5408117 7389448 8732984 8841976 9908578 10816234 12007853 19817156 21632468 24015706 39634312 43264936 48031412 54497179 64405757 96062824 108994358 128811514 217988716 257623028 435977432 515246056 708463327 1416926654 2833853308 5667706616