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668086056 = 233411194933
BaseRepresentation
bin100111110100100…
…010111100101000
31201120010021210000
4213310202330220
52332012223211
6150143223000
722361431521
oct4764427450
91646107700
10668086056
11313131a40
121678a7a60
13a85471c1
1464a2b848
153d9bb656
hex27d22f28

668086056 has 160 divisors (see below), whose sum is σ = 2149250400. Its totient is φ = 191756160.

The previous prime is 668086039. The next prime is 668086057. The reversal of 668086056 is 650680866.

668086056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (668086057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132966 + ... + 137898.

It is an arithmetic number, because the mean of its divisors is an integer number (13432815).

Almost surely, 2668086056 is an apocalyptic number.

668086056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668086056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074625200).

668086056 is an abundant number, since it is smaller than the sum of its proper divisors (1481164344).

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

668086056 is a wasteful number, since it uses less digits than its factorization.

668086056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 668086056 is about 25847.3607163285. The cubic root of 668086056 is about 874.2000006595.

The spelling of 668086056 in words is "six hundred sixty-eight million, eighty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 81 88 99 108 114 132 152 162 171 198 209 216 228 264 297 324 342 396 418 456 513 594 627 648 684 792 836 891 1026 1188 1254 1368 1539 1672 1782 1881 2052 2376 2508 3078 3564 3762 4104 4933 5016 5643 6156 7128 7524 9866 11286 12312 14799 15048 16929 19732 22572 29598 33858 39464 44397 45144 54263 59196 67716 88794 93727 108526 118392 133191 135432 162789 177588 187454 217052 266382 281181 325578 355176 374908 399573 434104 488367 532764 562362 651156 749816 799146 843543 976734 1030997 1065528 1124724 1302312 1465101 1598292 1687086 1953468 2061994 2249448 2530629 2930202 3092991 3196584 3374172 3906936 4123988 4395303 5061258 5860404 6185982 6748344 7591887 8247976 8790606 9278973 10122516 11720808 12371964 15183774 17581212 18557946 20245032 24743928 27836919 30367548 35162424 37115892 55673838 60735096 74231784 83510757 111347676 167021514 222695352 334043028 668086056