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230153543003264 = 2711315912164201
BaseRepresentation
bin110100010101001011001100…
…001011001010110010000000
31010011220110112010120112201012
4310111023030023022302000
5220131313424002101024
62133255024504100052
766323021231011616
oct6425131413126200
91104813463515635
10230153543003264
1167374629a31321
122199136ba64628
139b56502cc26ca
1440b96c31156b6
151b91c4d9eb50e
hexd152cc2cac80

230153543003264 has 32 divisors (see below), whose sum is σ = 462566613352140. Its totient is φ = 114058392985600.

The previous prime is 230153543003261. The next prime is 230153543003299. The reversal of 230153543003264 is 462300345351032.

It can be written as a sum of positive squares in 2 ways, for example, as 160914502003264 + 69239041000000 = 12685208^2 + 8321000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (230153543003261) 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 3 ways as a sum of consecutive naturals, for example, 7956067637 + ... + 7956096564.

Almost surely, 2230153543003264 is an apocalyptic number.

It is an amenable number.

230153543003264 is an abundant number, since it is smaller than the sum of its proper divisors (232413070348876).

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

230153543003264 is a wasteful number, since it uses less digits than its factorization.

230153543003264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15912164328 (or 15912164316 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 41.

Adding to 230153543003264 its reverse (462300345351032), we get a palindrome (692453888354296).

The spelling of 230153543003264 in words is "two hundred thirty trillion, one hundred fifty-three billion, five hundred forty-three million, three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 15912164201 31824328402 63648656804 127297313608 254594627216 509189254432 1018378508864 1798074554713 2036757017728 3596149109426 7192298218852 14384596437704 28769192875408 57538385750816 115076771501632 230153543003264