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232125984067 = 175926536007
BaseRepresentation
bin1101100000101111001…
…0010110110101000011
3211012011020222202202011
43120023302112311003
512300343222442232
6254345345233351
722525204211065
oct3301362266503
9735136882664
10232125984067
118a49808055a
1238ba2632857
1318b73c9c1c3
14b340a1b735
156088a49547
hex360bc96d43

232125984067 has 24 divisors (see below), whose sum is σ = 250441389216. Its totient is φ = 214404013824.

The previous prime is 232125984011. The next prime is 232125984127. The reversal of 232125984067 is 760489521232.

It is a happy number.

232125984067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-232125984067 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232125984067.

It is not an unprimeable number, because it can be changed into a prime (232125964067) 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 23 ways as a sum of consecutive naturals, for example, 38639578 + ... + 38645584.

It is an arithmetic number, because the mean of its divisors is an integer number (10435057884).

It is a 1-persistent number, because it is pandigital, but 2⋅232125984067 = 464251968134 is not.

Almost surely, 2232125984067 is an apocalyptic number.

232125984067 is a deficient number, since it is larger than the sum of its proper divisors (18315405149).

232125984067 is an equidigital number, since it uses as much as digits as its factorization.

232125984067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 232125984067 in words is "two hundred thirty-two billion, one hundred twenty-five million, nine hundred eighty-four thousand, sixty-seven".

Divisors: 1 17 59 653 1003 3481 6007 11101 38527 59177 102119 354413 654959 2273093 3922571 6025021 20910367 38642581 66683707 231431689 355476239 3934338713 13654469651 232125984067