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42357489984 = 263273537309
BaseRepresentation
bin100111011100101101…
…000000000101000000
311001022222002102210100
4213130231000011000
51143222004134414
631243032002400
73026441503305
oct473455000500
9131288072710
1042357489984
1116a66776177
128261530400
133cc0606054
14209b7230ac
15117d962609
hex9dcb40140

42357489984 has 42 divisors (see below), whose sum is σ = 121410098810. Its totient is φ = 14119163136.

The previous prime is 42357489959. The next prime is 42357490013. The reversal of 42357489984 is 48998475324.

42357489984 is a `hidden beast` number, since 4 + 23 + 57 + 489 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42254913600 + 102576384 = 205560^2 + 10128^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 36768079 + ... + 36769230.

Almost surely, 242357489984 is an apocalyptic number.

It is an amenable number.

42357489984 is an abundant number, since it is smaller than the sum of its proper divisors (79052608826).

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

42357489984 is a wasteful number, since it uses less digits than its factorization.

42357489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73537327 (or 73537314 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 42357489984 in words is "forty-two billion, three hundred fifty-seven million, four hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 73537309 147074618 220611927 294149236 441223854 588298472 661835781 882447708 1176596944 1323671562 1764895416 2353193888 2647343124 3529790832 4706387776 5294686248 7059581664 10589372496 14119163328 21178744992 42357489984