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68206826826882 = 23331277155994351
BaseRepresentation
bin11111000001000101000111…
…01011110010110010000010
322221111111202000221100021000
433200202203223302302002
532420000040131430012
6401021441135112430
720236531516115232
oct1740424353626202
9287444660840230
1068206826826882
111a807397660627
127796b34372716
132c09b50c44043
1412bb329a15cc2
157d433949addc
hex3e08a3af2c82

68206826826882 has 128 divisors (see below), whose sum is σ = 157127329382400. Its totient is φ = 21908477592000.

The previous prime is 68206826826869. The next prime is 68206826826893. The reversal of 68206826826882 is 28862862860286.

68206826826882 is a `hidden beast` number, since 6 + 8 + 20 + 6 + 8 + 268 + 268 + 82 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68206826826882.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722858007 + ... + 722952357.

It is an arithmetic number, because the mean of its divisors is an integer number (1227557260800).

Almost surely, 268206826826882 is an apocalyptic number.

68206826826882 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68206826826882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78563664691200).

68206826826882 is an abundant number, since it is smaller than the sum of its proper divisors (88920502555518).

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

68206826826882 is a wasteful number, since it uses less digits than its factorization.

68206826826882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96229 (or 96223 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 72.

The spelling of 68206826826882 in words is "sixty-eight trillion, two hundred six billion, eight hundred twenty-six million, eight hundred twenty-six thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 277 279 554 558 831 837 1559 1662 1674 2493 3118 4677 4986 7479 8587 9354 14031 14958 17174 25761 28062 42093 48329 51522 77283 84186 94351 96658 144987 154566 188702 231849 283053 289974 431843 434961 463698 566106 849159 863686 869922 1295529 1304883 1698318 2547477 2591058 2609766 2924881 3886587 5094954 5849762 7773174 8774643 11659761 13387133 17549286 23319522 26135227 26323929 26774266 40161399 52270454 52647858 78405681 78971787 80322798 120484197 147093209 156811362 157943574 235217043 240968394 294186418 361452591 441279627 470434086 705651129 722905182 810192037 882559254 1323838881 1411302258 1620384074 2430576111 2647677762 3971516643 4559889479 4861152222 7291728333 7943033286 9119778958 13679668437 14583456666 21875184999 27359336874 40744818893 41039005311 43750369998 81489637786 82078010622 122234456679 123117015933 244468913358 246234031866 366703370037 733406740074 1100110110111 1263089385683 2200220220222 2526178771366 3789268157049 7578536314098 11367804471147 22735608942294 34103413413441 68206826826882