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42047599230 = 233572131773197
BaseRepresentation
bin100111001010001110…
…110111001001111110
311000112100222100121000
4213022032313021332
51142103141133410
631152201551130
73015656460600
oct471216671176
9130470870530
1042047599230
111691785670a
1281957a54a6
133c71354340
14206c4d7170
15116164cdc0
hex9ca3b727e

42047599230 has 768 divisors, whose sum is σ = 151532156160. Its totient is φ = 8193540096.

The previous prime is 42047599151. The next prime is 42047599249. The reversal of 42047599230 is 3299574024.

42047599230 is a `hidden beast` number, since 4 + 20 + 4 + 7 + 599 + 2 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 213439492 + ... + 213439688.

It is an arithmetic number, because the mean of its divisors is an integer number (197307495).

Almost surely, 242047599230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42047599230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75766078080).

42047599230 is an abundant number, since it is smaller than the sum of its proper divisors (109484556930).

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

42047599230 is a wasteful number, since it uses less digits than its factorization.

42047599230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42047599230 in words is "forty-two billion, forty-seven million, five hundred ninety-nine thousand, two hundred thirty".