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42120299933 = 892129222293
BaseRepresentation
bin100111001110100100…
…001100010110011101
311000201102202221012122
4213032210030112131
51142230244044213
631203320112325
73020531433155
oct471644142635
9130642687178
1042120299933
11169548a1838
1281b60056a5
133c8342a1ca
14207801d765
151167c0dd08
hex9ce90c59d

42120299933 has 8 divisors (see below), whose sum is σ = 42613759800. Its totient is φ = 41627289088.

The previous prime is 42120299927. The next prime is 42120299959. The reversal of 42120299933 is 33999202124.

42120299933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63313849 + 42056986084 = 7957^2 + 205078^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42120299933 - 226 = 42053191069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120298933) 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, 78335 + ... + 300627.

It is an arithmetic number, because the mean of its divisors is an integer number (5326719975).

Almost surely, 242120299933 is an apocalyptic number.

It is an amenable number.

42120299933 is a deficient number, since it is larger than the sum of its proper divisors (493459867).

42120299933 is a wasteful number, since it uses less digits than its factorization.

42120299933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224511.

The product of its (nonzero) digits is 209952, while the sum is 44.

The spelling of 42120299933 in words is "forty-two billion, one hundred twenty million, two hundred ninety-nine thousand, nine hundred thirty-three".

Divisors: 1 89 2129 189481 222293 19784077 473261797 42120299933