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668687020176 = 243747103411101
BaseRepresentation
bin10011011101100001101…
…10100011000010010000
32100220222221121012122110
421232300312203002100
541423432334121201
61231105055305320
766211454614110
oct11566066430220
92326887535573
10668687020176
1123865243247a
12a9719b1b240
134b098073c06
142451675b040
15125da0776d6
hex9bb0da3090

668687020176 has 160 divisors (see below), whose sum is σ = 2035803414528. Its totient is φ = 185172595200.

The previous prime is 668687020159. The next prime is 668687020181. The reversal of 668687020176 is 671020786866.

It is an unprimeable number.

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, 1421026 + ... + 1832126.

Almost surely, 2668687020176 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 668687020176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017901707264).

668687020176 is an abundant number, since it is smaller than the sum of its proper divisors (1367116394352).

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

668687020176 is a wasteful number, since it uses less digits than its factorization.

668687020176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411269 (or 411263 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 668687020176 in words is "six hundred sixty-eight billion, six hundred eighty-seven million, twenty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 103 112 141 168 188 206 282 309 329 336 376 412 564 618 658 721 752 824 987 1128 1236 1316 1442 1648 1974 2163 2256 2472 2632 2884 3948 4326 4841 4944 5264 5768 7896 8652 9682 11536 14523 15792 17304 19364 29046 33887 34608 38728 58092 67774 77456 101661 116184 135548 203322 232368 271096 406644 411101 542192 813288 822202 1233303 1626576 1644404 2466606 2877707 3288808 4933212 5755414 6577616 8633121 9866424 11510828 17266242 19321747 19732848 23021656 34532484 38643494 42343403 46043312 57965241 69064968 77286988 84686806 115930482 127030209 135252229 138129936 154573976 169373612 231860964 254060418 270504458 296403821 309147952 338747224 405756687 463721928 508120836 541008916 592807642 677494448 811513374 889211463 927443856 1016241672 1082017832 1185615284 1623026748 1778422926 1990139941 2032483344 2164035664 2371230568 3246053496 3556845852 3980279882 4742461136 5970419823 6492106992 7113691704 7960559764 11940839646 13930979587 14227383408 15921119528 23881679292 27861959174 31842239056 41792938761 47763358584 55723918348 83585877522 95526717168 111447836696 167171755044 222895673392 334343510088 668687020176