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42305724747 = 321113263124987
BaseRepresentation
bin100111011001100111…
…100010000101001011
311001012100200111020100
4213121213202011023
51143120231142442
631233542300443
73025242504246
oct473147420513
9131170614210
1042305724747
1116a3a52a190
128248127723
133cb2980330
1420948ca25d
15117913984c
hex9d99e214b

42305724747 has 48 divisors (see below), whose sum is σ = 72065081088. Its totient is φ = 23577359040.

The previous prime is 42305724683. The next prime is 42305724757. The reversal of 42305724747 is 74742750324.

42305724747 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 572 + 4 + 74 + 7 = 666.

42305724747 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42305724747 - 26 = 42305724683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42305724757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275988 + ... + 400974.

It is an arithmetic number, because the mean of its divisors is an integer number (1501355856).

Almost surely, 242305724747 is an apocalyptic number.

42305724747 is a deficient number, since it is larger than the sum of its proper divisors (29759356341).

42305724747 is a wasteful number, since it uses less digits than its factorization.

42305724747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125280 (or 125277 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 42305724747 in words is "forty-two billion, three hundred five million, seven hundred twenty-four thousand, seven hundred forty-seven".

Divisors: 1 3 9 11 13 33 39 99 117 143 263 429 789 1287 2367 2893 3419 8679 10257 26037 30771 37609 112827 124987 338481 374961 1124883 1374857 1624831 4124571 4874493 12373713 14623479 17873141 32871581 53619423 98614743 160858269 295844229 361587391 427330553 1084762173 1281991659 3254286519 3845974977 4700636083 14101908249 42305724747