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668001406680 = 23335976376493
BaseRepresentation
bin10011011100001111111…
…11001000111011011000
32100212020011111102202000
421232013333020323120
541421031330003210
61230513044241000
766155461161666
oct11560777107330
92325204442660
10668001406680
11238330419953
12a95683a0160
134acb9000b5a
142448d689c36
1512599c97ac0
hex9b87fc8ed8

668001406680 has 128 divisors (see below), whose sum is σ = 2249627083200. Its totient is φ = 176297250816.

The previous prime is 668001406661. The next prime is 668001406697. The reversal of 668001406680 is 86604100866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3083487 + ... + 3293006.

Almost surely, 2668001406680 is an apocalyptic number.

668001406680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668001406680 is an abundant number, since it is smaller than the sum of its proper divisors (1581625676520).

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

668001406680 is a wasteful number, since it uses less digits than its factorization.

668001406680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376610 (or 6376600 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 668001406680 in words is "six hundred sixty-eight billion, one million, four hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 97 108 120 135 180 194 216 270 291 360 388 485 540 582 776 873 970 1080 1164 1455 1746 1940 2328 2619 2910 3492 3880 4365 5238 5820 6984 8730 10476 11640 13095 17460 20952 26190 34920 52380 104760 6376493 12752986 19129479 25505972 31882465 38258958 51011944 57388437 63764930 76517916 95647395 114776874 127529860 153035832 172165311 191294790 229553748 255059720 286942185 344330622 382589580 459107496 573884370 618519821 688661244 765179160 860826555 1147768740 1237039642 1377322488 1721653110 1855559463 2295537480 2474079284 3092599105 3443306220 3711118926 4948158568 5566678389 6185198210 6886612440 7422237852 9277797315 11133356778 12370396420 14844475704 16700035167 18555594630 22266713556 24740792840 27833391945 33400070334 37111189260 44533427112 55666783890 66800140668 74222378520 83500175835 111333567780 133600281336 167000351670 222667135560 334000703340 668001406680