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238946445010 = 25713323431571
BaseRepresentation
bin1101111010001001010…
…0010110011011010010
3211211202120220002020201
43132202110112123102
512403330242220020
6301434231325414
723156213161630
oct3364224263322
9754676802221
10238946445010
1192378047839
123a38682086a
13196c0033000
14b7ca7a0350
1563376eba0a
hex37a25166d2

238946445010 has 256 divisors, whose sum is σ = 568926167040. Its totient is φ = 70607496960.

The previous prime is 238946444983. The next prime is 238946445019. The reversal of 238946445010 is 10544649832.

238946445010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (238946445019) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 152097525 + ... + 152099095.

It is an arithmetic number, because the mean of its divisors is an integer number (2222367840).

Almost surely, 2238946445010 is an apocalyptic number.

238946445010 is an abundant number, since it is smaller than the sum of its proper divisors (329979722030).

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

238946445010 is a wasteful number, since it uses less digits than its factorization.

238946445010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 238946445010 in words is "two hundred thirty-eight billion, nine hundred forty-six million, four hundred forty-five thousand, ten".