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42735767664 = 2431934613101
BaseRepresentation
bin100111110011010000…
…000001000001110000
311002022022212221012210
4213303100001001300
51200010324031124
631344343452120
73042014013552
oct476320010160
9132268787183
1042735767664
1117140254857
128348157040
134050ab02b5
1420d5a714d2
1511a1c84a29
hex9f3401070

42735767664 has 40 divisors (see below), whose sum is σ = 110972781712. Its totient is φ = 14171443200.

The previous prime is 42735767663. The next prime is 42735767671. The reversal of 42735767664 is 46676753724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735767663) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2297287 + ... + 2315814.

Almost surely, 242735767664 is an apocalyptic number.

It is an amenable number.

42735767664 is an abundant number, since it is smaller than the sum of its proper divisors (68237014048).

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

42735767664 is a wasteful number, since it uses less digits than its factorization.

42735767664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613305 (or 4613299 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 57.

The spelling of 42735767664 in words is "forty-two billion, seven hundred thirty-five million, seven hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 193 386 579 772 1158 1544 2316 3088 4632 9264 4613101 9226202 13839303 18452404 27678606 36904808 55357212 73809616 110714424 221428848 890328493 1780656986 2670985479 3561313972 5341970958 7122627944 10683941916 14245255888 21367883832 42735767664