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42663871872 = 273251537187
BaseRepresentation
bin100111101110111101…
…110000010110000000
311002010022121020201200
4213232331300112000
51144333422344442
631333254501200
73040151633046
oct475675602600
9132108536650
1042663871872
1117103709446
128328064800
13403bc298cb
1420ca2b8396
15119a7d234c
hex9eef70580

42663871872 has 96 divisors (see below), whose sum is σ = 122810645880. Its totient is φ = 14216552448.

The previous prime is 42663871867. The next prime is 42663871889. The reversal of 42663871872 is 27817836624.

42663871872 is a `hidden beast` number, since 426 + 6 + 38 + 7 + 187 + 2 = 666.

42663871872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×426638718722 (a number of 22 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 11 ways as a sum of consecutive naturals, for example, 5932663 + ... + 5939849.

Almost surely, 242663871872 is an apocalyptic number.

It is an amenable number.

42663871872 is an abundant number, since it is smaller than the sum of its proper divisors (80146774008).

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

42663871872 is a wasteful number, since it uses less digits than its factorization.

42663871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12360 (or 12345 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 42663871872 in words is "forty-two billion, six hundred sixty-three million, eight hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 5153 7187 10306 14374 15459 20612 21561 28748 30918 41224 43122 46377 57496 61836 64683 82448 86244 92754 114992 123672 129366 164896 172488 185508 229984 247344 258732 329792 344976 371016 459968 494688 517464 659584 689952 742032 919936 989376 1034928 1379904 1484064 1978752 2069856 2759808 2968128 4139712 5936256 8279424 37034611 74069222 111103833 148138444 222207666 296276888 333311499 444415332 592553776 666622998 888830664 1185107552 1333245996 1777661328 2370215104 2666491992 3555322656 4740430208 5332983984 7110645312 10665967968 14221290624 21331935936 42663871872