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234535201038 = 232137193149253
BaseRepresentation
bin1101101001101101100…
…0110010100100001110
3211102101011100200010100
43122123120302210032
512320312002413123
6255424411151530
722642000213215
oct3323330624416
9742334320110
10234535201038
1190514008966
12395554455a6
1319169164188
14b4cc99a07c
15617a2e1643
hex369b63290e

234535201038 has 48 divisors (see below), whose sum is σ = 512144274096. Its totient is φ = 77565989760.

The previous prime is 234535200989. The next prime is 234535201091. The reversal of 234535201038 is 830102535432.

234535201038 is a `hidden beast` number, since 23 + 4 + 5 + 3 + 520 + 103 + 8 = 666.

234535201038 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 = 234535200993 and 234535201011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4737220 + ... + 4786472.

It is an arithmetic number, because the mean of its divisors is an integer number (10669672377).

Almost surely, 2234535201038 is an apocalyptic number.

234535201038 is an abundant number, since it is smaller than the sum of its proper divisors (277609073058).

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

234535201038 is a wasteful number, since it uses less digits than its factorization.

234535201038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51329 (or 51326 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 234535201038 in words is "two hundred thirty-four billion, five hundred thirty-five million, two hundred one thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 1931 2466 3862 5793 11586 17379 34758 49253 98506 147759 264547 295518 443277 529094 793641 886554 1587282 2380923 4761846 6747661 13495322 20242983 40485966 60728949 95107543 121457898 190215086 285322629 570645258 855967887 1711935774 13029733391 26059466782 39089200173 78178400346 117267600519 234535201038