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523432234325 = 5271113178311731
BaseRepresentation
bin1111001110111101111…
…11100000110101010101
31212001001220002112212002
413213132333200311111
532033442122444300
61040243401205045
752550065403330
oct7473677406525
91761056075762
10523432234325
11191a93939a10
1285540490785
133a4899264a0
141b4972a7617
15d937d725d5
hex79defe0d55

523432234325 has 96 divisors (see below), whose sum is σ = 872022853632. Its totient is φ = 301001184000.

The previous prime is 523432234307. The next prime is 523432234333.

523432234325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523432234325 - 214 = 523432217941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44613710 + ... + 44625440.

It is an arithmetic number, because the mean of its divisors is an integer number (9083571392).

Almost surely, 2523432234325 is an apocalyptic number.

523432234325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523432234325 is a deficient number, since it is larger than the sum of its proper divisors (348590619307).

523432234325 is a wasteful number, since it uses less digits than its factorization.

523432234325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555 (or 13550 counting only the distinct ones).

The product of its digits is 518400, while the sum is 38.

It can be divided in two parts, 523432 and 234325, that added together give a palindrome (757757).

The spelling of 523432234325 in words is "five hundred twenty-three billion, four hundred thirty-two million, two hundred thirty-four thousand, three hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 175 275 325 385 455 715 1001 1783 1925 2275 3575 5005 8915 11731 12481 19613 23179 25025 44575 58655 62405 82117 98065 115895 129041 137291 152503 162253 254969 293275 312025 410585 490325 579475 645205 686455 762515 811265 903287 1067521 1274845 1677533 1784783 2052925 3226025 3432275 3812575 4056325 4516435 5337605 6374225 8387665 8923915 11742731 20916373 22582175 26688025 41938325 44619575 58713655 104581865 146414611 230080103 271912849 293568275 522909325 732073055 1150400515 1359564245 1610560721 1903389943 2991041339 3660365275 5752002575 6797821225 8052803605 9516949715 14955206695 20937289373 40264018025 47584748575 74776033475 104686446865 523432234325