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42510321216 = 2632116709331
BaseRepresentation
bin100111100101110100…
…000000011001000000
311001201121200001211100
4213211310000121000
51144030120234331
631310131414400
73033305524356
oct474564003100
9131647601740
1042510321216
1117034a71580
1282a4754400
13401618682c
1420b3b477d6
15118c0a0ae6
hex9e5d00640

42510321216 has 84 divisors (see below), whose sum is σ = 132925285584. Its totient is φ = 12881913600.

The previous prime is 42510321197. The next prime is 42510321233. The reversal of 42510321216 is 61212301524.

42510321216 is a `hidden beast` number, since 425 + 1 + 0 + 3 + 21 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42510321216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3348330 + ... + 3361001.

It is an arithmetic number, because the mean of its divisors is an integer number (1582443876).

Almost surely, 242510321216 is an apocalyptic number.

It is an amenable number.

42510321216 is an abundant number, since it is smaller than the sum of its proper divisors (90414964368).

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

42510321216 is a wasteful number, since it uses less digits than its factorization.

42510321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709360 (or 6709347 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 42510321216 in words is "forty-two billion, five hundred ten million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 6709331 13418662 20127993 26837324 40255986 53674648 60383979 73802641 80511972 107349296 120767958 147605282 161023944 214698592 221407923 241535916 295210564 322047888 429397184 442815846 483071832 590421128 644095776 664223769 885631692 966143664 1180842256 1288191552 1328447538 1771263384 1932287328 2361684512 2656895076 3542526768 3864574656 4723369024 5313790152 7085053536 10627580304 14170107072 21255160608 42510321216