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42727631235 = 3531214232083
BaseRepresentation
bin100111110010110000…
…111110100110000011
311002021202120120010120
4213302300332212003
51200001233144420
631343453231323
73041554605312
oct476260764603
9132252516116
1042727631235
11171366a7833
128345492543
13404c1c1a43
1420d4954279
1511a11c8d40
hex9f2c3e983

42727631235 has 48 divisors (see below), whose sum is σ = 70724224512. Its totient is φ = 22026893760.

The previous prime is 42727631209. The next prime is 42727631257. The reversal of 42727631235 is 53213672724.

It is not a de Polignac number, because 42727631235 - 217 = 42727500163 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20511504 + ... + 20513586.

It is an arithmetic number, because the mean of its divisors is an integer number (1473421344).

Almost surely, 242727631235 is an apocalyptic number.

42727631235 is a deficient number, since it is larger than the sum of its proper divisors (27996593277).

42727631235 is a wasteful number, since it uses less digits than its factorization.

42727631235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3545 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The spelling of 42727631235 in words is "forty-two billion, seven hundred twenty-seven million, six hundred thirty-one thousand, two hundred thirty-five".

Divisors: 1 3 5 15 31 93 155 465 961 1423 2083 2883 4269 4805 6249 7115 10415 14415 21345 31245 44113 64573 132339 193719 220565 322865 661695 968595 1367503 2001763 2964109 4102509 6005289 6837515 8892327 10008815 14820545 20512545 30026445 44461635 91887379 275662137 459436895 1378310685 2848508749 8545526247 14242543745 42727631235