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42742745352 = 2332757784213
BaseRepresentation
bin100111110011101010…
…101000100100001000
311002022211000102210200
4213303222220210020
51200014120322402
631345153212200
73042130224636
oct476352504410
9132284012720
1042742745352
111714419023a
12834a561060
1340523842c8
1420d696a356
1511a26b221c
hex9f3aa8908

42742745352 has 48 divisors (see below), whose sum is σ = 115914671340. Its totient is φ = 14228742528.

The previous prime is 42742745351. The next prime is 42742745407. The reversal of 42742745352 is 25354724724.

42742745352 is a `hidden beast` number, since 4 + 2 + 7 + 42 + 74 + 535 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42652988676 + 89756676 = 206526^2 + 9474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42742745298 and 42742745307.

It is not an unprimeable number, because it can be changed into a prime (42742745351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337603 + ... + 446610.

Almost surely, 242742745352 is an apocalyptic number.

It is an amenable number.

42742745352 is an abundant number, since it is smaller than the sum of its proper divisors (73171925988).

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

42742745352 is a wasteful number, since it uses less digits than its factorization.

42742745352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784982 (or 784975 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 45.

The spelling of 42742745352 in words is "forty-two billion, seven hundred forty-two million, seven hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 757 1514 2271 3028 4542 6056 6813 9084 13626 18168 27252 54504 784213 1568426 2352639 3136852 4705278 6273704 7057917 9410556 14115834 18821112 28231668 56463336 593649241 1187298482 1780947723 2374596964 3561895446 4749193928 5342843169 7123790892 10685686338 14247581784 21371372676 42742745352