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668889554868 = 2232173794396569
BaseRepresentation
bin10011011101111001110…
…11001001111110110100
32100221112001201001000100
421232330323021332310
541424341211223433
61231141132314100
766216464256213
oct11567473117664
92327461631010
10668889554868
11238746796817
12a9775912930
134b0cb007b22
14245355dd07a
15125ecc32b13
hex9bbcec9fb4

668889554868 has 144 divisors (see below), whose sum is σ = 1799349552000. Its totient is φ = 208785475584.

The previous prime is 668889554819. The next prime is 668889554873. The reversal of 668889554868 is 868455988866.

668889554868 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 8 + 9 + 5 + 548 + 68 = 666.

It is a super-2 number, since 2×6688895548682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101821888 + ... + 101828456.

It is an arithmetic number, because the mean of its divisors is an integer number (12495483000).

Almost surely, 2668889554868 is an apocalyptic number.

668889554868 is a gapful number since it is divisible by the number (68) 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 668889554868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899674776000).

668889554868 is an abundant number, since it is smaller than the sum of its proper divisors (1130459997132).

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

668889554868 is a wasteful number, since it uses less digits than its factorization.

668889554868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7409 counting only the distinct ones).

The product of its digits is 6370099200, while the sum is 81.

The spelling of 668889554868 in words is "six hundred sixty-eight billion, eight hundred eighty-nine million, five hundred fifty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 379 439 612 758 878 1137 1317 1516 1756 2274 2634 3411 3951 4548 5268 6443 6569 6822 7463 7902 12886 13138 13644 14926 15804 19329 19707 22389 25772 26276 29852 38658 39414 44778 57987 59121 67167 77316 78828 89556 111673 115974 118242 134334 166381 223346 231948 236484 268668 332762 335019 446692 499143 665524 670038 998286 1005057 1340076 1497429 1996572 2010114 2489651 2828477 2883791 2994858 4020228 4979302 5656954 5767582 5989716 7468953 8485431 8651373 9958604 11313908 11535164 14937906 16970862 17302746 22406859 25456293 25954119 29875812 33941724 34605492 42324067 44813718 49024447 50912586 51908238 84648134 89627436 98048894 101825172 103816476 126972201 147073341 169296268 196097788 253944402 294146682 380916603 441220023 507888804 588293364 761833206 882440046 1092956789 1523666412 1764880092 2185913578 3278870367 4371827156 6557740734 9836611101 13115481468 18580265413 19673222202 37160530826 39346444404 55740796239 74321061652 111481592478 167222388717 222963184956 334444777434 668889554868