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238533546745 = 5132766936809
BaseRepresentation
bin1101111000100110110…
…1010001001011111001
3211210200210221200022101
43132021231101023321
512402004041443440
6301325241423401
723143040456614
oct3361155211371
9753623850271
10238533546745
1192185a721aa
123a29049ab61
1319655626900
14b78b9dd17b
15631133b69a
hex3789b512f9

238533546745 has 24 divisors (see below), whose sum is σ = 310001304600. Its totient is φ = 176120096256.

The previous prime is 238533546689. The next prime is 238533546787. The reversal of 238533546745 is 547645335832.

It can be written as a sum of positive squares in 12 ways, for example, as 85593108969 + 152940437776 = 292563^2 + 391076^2 .

It is not a de Polignac number, because 238533546745 - 27 = 238533546617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6461901 + ... + 6498709.

It is an arithmetic number, because the mean of its divisors is an integer number (12916721025).

Almost surely, 2238533546745 is an apocalyptic number.

It is an amenable number.

238533546745 is a deficient number, since it is larger than the sum of its proper divisors (71467757855).

238533546745 is a wasteful number, since it uses less digits than its factorization.

238533546745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44509 (or 44496 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 55.

The spelling of 238533546745 in words is "two hundred thirty-eight billion, five hundred thirty-three million, five hundred forty-six thousand, seven hundred forty-five".

Divisors: 1 5 13 65 169 845 7669 36809 38345 99697 184045 478517 498485 1296061 2392585 6220721 6480305 31103605 282288221 1411441105 3669746873 18348734365 47706709349 238533546745