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523353608388 = 2232131118276941
BaseRepresentation
bin1111001110110100100…
…11100101000011000100
31212000212102010221100100
413213122103211003010
532033312010432023
61040231512044100
752545122162232
oct7473223450304
91760772127310
10523353608388
11191a535170a6
128551a093630
133a476557670
141b48aa7b952
15d930ee0c43
hex79da4e50c4

523353608388 has 36 divisors (see below), whose sum is σ = 1424684824108. Its totient is φ = 161031879360.

The previous prime is 523353608381. The next prime is 523353608389. The reversal of 523353608388 is 883806353325.

523353608388 is a `hidden beast` number, since 5 + 23 + 3 + 5 + 3 + 608 + 3 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169004854404 + 354348753984 = 411102^2 + 595272^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (523353608381) 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 11 ways as a sum of consecutive naturals, for example, 559138003 + ... + 559138938.

Almost surely, 2523353608388 is an apocalyptic number.

It is an amenable number.

523353608388 is an abundant number, since it is smaller than the sum of its proper divisors (901331215720).

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

523353608388 is a wasteful number, since it uses less digits than its factorization.

523353608388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118276964 (or 1118276959 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 523353608388 in words is "five hundred twenty-three billion, three hundred fifty-three million, six hundred eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1118276941 2236553882 3354830823 4473107764 6709661646 10064492469 13419323292 14537600233 20128984938 29075200466 40257969876 43612800699 58150400932 87225601398 130838402097 174451202796 261676804194 523353608388