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42687079866 = 23417191395869
BaseRepresentation
bin100111110000010110…
…010010010110111010
311002011221021100010000
4213300112102112322
51144410343023431
631335444133430
73040553122614
oct476026222672
9132157240100
1042687079866
111711581aa02
128333997276
134043994252
1420cd3d9db4
15119c8689e6
hex9f05925ba

42687079866 has 160 divisors (see below), whose sum is σ = 107392824000. Its totient is φ = 12593760768.

The previous prime is 42687079837. The next prime is 42687079891. The reversal of 42687079866 is 66897078624.

42687079866 is a `hidden beast` number, since 426 + 87 + 0 + 79 + 8 + 66 = 666.

42687079866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×426870798663 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7270380 + ... + 7276248.

It is an arithmetic number, because the mean of its divisors is an integer number (671205150).

Almost surely, 242687079866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42687079866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53696412000).

42687079866 is an abundant number, since it is smaller than the sum of its proper divisors (64705744134).

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

42687079866 is a wasteful number, since it uses less digits than its factorization.

42687079866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 42687079866 in words is "forty-two billion, six hundred eighty-seven million, seventy-nine thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 139 153 162 171 278 306 323 342 417 459 513 646 834 918 969 1026 1251 1377 1539 1938 2363 2502 2641 2754 2907 3078 3753 4726 5282 5814 5869 7089 7506 7923 8721 11259 11738 14178 15846 17442 17607 21267 22518 23769 26163 35214 42534 44897 47538 52326 52821 63801 71307 89794 99773 105642 111511 127602 134691 142614 158463 191403 199546 213921 223022 269382 299319 316926 334533 382806 404073 427842 475389 598638 669066 808146 815791 897957 950778 1003599 1212219 1631582 1795914 1895687 2007198 2424438 2447373 2693871 3010797 3636657 3791374 4894746 5387742 5687061 6021594 7273314 7342119 8081613 9032391 11374122 13868447 14684238 15500029 16163226 17061183 18064782 22026357 27736894 31000058 34122366 41605341 44052714 46500087 51183549 66079071 83210682 93000174 102367098 124816023 132158142 139500261 153550647 249632046 263500493 279000522 307101294 374448069 418500783 527000986 748896138 790501479 837001566 1123344207 1255502349 1581002958 2246688414 2371504437 2511004698 4743008874 7114513311 14229026622 21343539933 42687079866