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235189392957 = 32196473212479
BaseRepresentation
bin1101101100001001100…
…0010101011000111101
3211111001202100001201200
43123002120111120331
512323131441033312
6300013340530113
722664132566251
oct3330230253075
9744052301650
10235189392957
119081a30aa42
12396b8550939
131924185519c
14b55180c261
1561b79660dc
hex36c261563d

235189392957 has 24 divisors (see below), whose sum is σ = 357654835200. Its totient is φ = 148517022528.

The previous prime is 235189392913. The next prime is 235189392983. The reversal of 235189392957 is 759293981532.

235189392957 is a `hidden beast` number, since 2 + 3 + 518 + 93 + 9 + 29 + 5 + 7 = 666.

235189392957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 235189392957 - 27 = 235189392829 is a prime.

It is a super-2 number, since 2×2351893929572 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235189392894 and 235189392903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235189192957) 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, 1000644 + ... + 1213122.

It is an arithmetic number, because the mean of its divisors is an integer number (14902284800).

Almost surely, 2235189392957 is an apocalyptic number.

It is an amenable number.

235189392957 is a deficient number, since it is larger than the sum of its proper divisors (122465442243).

235189392957 is a wasteful number, since it uses less digits than its factorization.

235189392957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218977 (or 218974 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 235189392957 in words is "two hundred thirty-five billion, one hundred eighty-nine million, three hundred ninety-two thousand, nine hundred fifty-seven".

Divisors: 1 3 9 19 57 171 6473 19419 58257 122987 212479 368961 637437 1106883 1912311 4037101 12111303 36333909 1375376567 4126129701 12378389103 26132154773 78396464319 235189392957