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42733571841 = 3410322232
BaseRepresentation
bin100111110011000111…
…101000111100000001
311002022011202101010000
4213303013220330001
51200004243244331
631344224430213
73041656240002
oct476307507401
9132264671100
1042733571841
1117139a95024
128347478369
1340504c19ac
1420d565d1a9
1511a199e0e6
hex9f31e8f01

42733571841 has 45 divisors (see below), whose sum is σ = 64752725169. Its totient is φ = 28085941944.

The previous prime is 42733571819. The next prime is 42733571849. The reversal of 42733571841 is 14817533724.

The square root of 42733571841 is 206721.

It is a perfect power (a square), and thus also a powerful number.

42733571841 is a `hidden beast` number, since 4 + 2 + 7 + 33 + 571 + 8 + 41 = 666.

42733571841 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 42733571841 - 221 = 42731474689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42733571849) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 191630256 + ... + 191630478.

Almost surely, 242733571841 is an apocalyptic number.

42733571841 is the 206721-st square number.

42733571841 is the 103361-st centered octagonal number.

It is an amenable number.

42733571841 is a deficient number, since it is larger than the sum of its proper divisors (22019153328).

42733571841 is an frugal number, since it uses more digits than its factorization.

42733571841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 329 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 42733571841 in words is "forty-two billion, seven hundred thirty-three million, five hundred seventy-one thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 103 223 309 669 927 2007 2781 6021 8343 10609 18063 22969 31827 49729 68907 95481 149187 206721 286443 447561 620163 859329 1342683 1860489 2365807 4028049 5122087 7097421 15366261 21292263 46098783 63876789 138296349 191630367 414889047 527574961 1582724883 4748174649 14244523947 42733571841