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42577743152 = 2472316528627
BaseRepresentation
bin100111101001110101…
…001100110100110000
311001220022112110100002
4213221311030310300
51144144400240102
631320540445132
73035054562650
oct475165146460
9131808473302
1042577743152
111706a03168a
1283032497a8
134027131a79
1420bca98360
151192e6c902
hex9e9d4cd30

42577743152 has 40 divisors (see below), whose sum is σ = 98378393856. Its totient is φ = 17454229056.

The previous prime is 42577743151. The next prime is 42577743157. The reversal of 42577743152 is 25134777524.

42577743152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42577743097 and 42577743106.

It is not an unprimeable number, because it can be changed into a prime (42577743151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8261738 + ... + 8266889.

Almost surely, 242577743152 is an apocalyptic number.

It is an amenable number.

42577743152 is an abundant number, since it is smaller than the sum of its proper divisors (55800650704).

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

42577743152 is a wasteful number, since it uses less digits than its factorization.

42577743152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16528665 (or 16528659 counting only the distinct ones).

The product of its digits is 1646400, while the sum is 47.

The spelling of 42577743152 in words is "forty-two billion, five hundred seventy-seven million, seven hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 16528627 33057254 66114508 115700389 132229016 231400778 264458032 380158421 462801556 760316842 925603112 1520633684 1851206224 2661108947 3041267368 5322217894 6082534736 10644435788 21288871576 42577743152