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523433068641 = 327371971139863
BaseRepresentation
bin1111001110111110000…
…10101100100001100001
31212001001221122221022200
413213133002230201201
532033442331144031
61040243431123413
752550105446620
oct7473702544141
91761057587280
10523433068641
11191a9435982a
1285540813569
133a489b59172
141b4974436b7
15d937e898e6
hex79df0ac861

523433068641 has 48 divisors (see below), whose sum is σ = 891939020544. Its totient is φ = 289543185792.

The previous prime is 523433068633. The next prime is 523433068649. The reversal of 523433068641 is 146860334325.

523433068641 is a `hidden beast` number, since 5 + 234 + 330 + 6 + 86 + 4 + 1 = 666.

523433068641 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (523433068633) and next prime (523433068649).

It is not a de Polignac number, because 523433068641 - 23 = 523433068633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (523433068649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110725 + ... + 1029138.

It is an arithmetic number, because the mean of its divisors is an integer number (18582062928).

Almost surely, 2523433068641 is an apocalyptic number.

It is an amenable number.

523433068641 is a deficient number, since it is larger than the sum of its proper divisors (368505951903).

523433068641 is a wasteful number, since it uses less digits than its factorization.

523433068641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140110 (or 1140107 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 523433068641 in words is "five hundred twenty-three billion, four hundred thirty-three million, sixty-eight thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 37 63 111 197 259 333 591 777 1379 1773 2331 4137 7289 12411 21867 51023 65601 153069 459207 1139863 3419589 7979041 10258767 23937123 42174931 71811369 126524793 224553011 295224517 379574379 673659033 885673551 1571871077 2020977099 2657020653 4715613231 8308461407 14146839693 24925384221 58159229849 74776152663 174477689547 523433068641