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42882176680068 = 223111965326184007
BaseRepresentation
bin10011100000000010010001…
…11010001000000010000100
312121211111101121211110222110
421300001020322020002010
521110040144212230233
6231111444445101020
712014064212440335
oct1160011072100204
9177744347743873
1042882176680068
1112733257888680
124986a2a257770
131ac0a05b6837b
14a8371919628c
154e56e561c663
hex270048e88084

42882176680068 has 96 divisors (see below), whose sum is σ = 115075573079040. Its totient is φ = 12291819776640.

The previous prime is 42882176680019. The next prime is 42882176680069. The reversal of 42882176680068 is 86008667128824.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 42882176679990 and 42882176680008.

It is not an unprimeable number, because it can be changed into a prime (42882176680069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11454280 + ... + 14729727.

It is an arithmetic number, because the mean of its divisors is an integer number (1198703886240).

Almost surely, 242882176680068 is an apocalyptic number.

It is an amenable number.

42882176680068 is an abundant number, since it is smaller than the sum of its proper divisors (72193396398972).

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

42882176680068 is a wasteful number, since it uses less digits than its factorization.

42882176680068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26184697 (or 26184695 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 66.

The spelling of 42882176680068 in words is "forty-two trillion, eight hundred eighty-two billion, one hundred seventy-six million, six hundred eighty thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 653 836 1254 1306 1959 2508 2612 3918 7183 7836 12407 14366 21549 24814 28732 37221 43098 49628 74442 86196 136477 148884 272954 409431 545908 818862 1637724 26184007 52368014 78552021 104736028 157104042 288024077 314208084 497496133 576048154 864072231 994992266 1152096308 1492488399 1728144462 1989984532 2984976798 3456288924 5472457463 5969953596 10944914926 16417372389 17098156571 21889829852 32834744778 34196313142 51294469713 65669489556 68392626284 102588939426 188079722281 205177878852 324864974849 376159444562 564239166843 649729949698 752318889124 974594924547 1128478333686 1299459899396 1949189849094 2256956667372 3573514723339 3898379698188 7147029446678 10720544170017 14294058893356 21441088340034 42882176680068