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523964040530112 = 263272132312151757
BaseRepresentation
bin111011100100010101110001…
…0100000101100100011000000
32112201012110202212122111211100
41313020223202200230203000
51022134111323333430422
65054213431321414400
7215236103242522200
oct16710534240544300
92481173685574740
10523964040530112
11141a509a118a516
124a9238a903a400
131964979b833200
149355dcdd10400
1540897918367ac
hex1dc8ae282c8c0

523964040530112 has 2268 divisors, whose sum is σ = 1970312264760528. Its totient is φ = 132669508608000.

The previous prime is 523964040530107. The next prime is 523964040530129. The reversal of 523964040530112 is 211035040469325.

523964040530112 is a `hidden beast` number, since 5 + 2 + 3 + 9 + 64 + 0 + 40 + 530 + 1 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 692158573638 + ... + 692158574394.

Almost surely, 2523964040530112 is an apocalyptic number.

523964040530112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523964040530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985156132380264).

523964040530112 is an abundant number, since it is smaller than the sum of its proper divisors (1446348224230416).

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

523964040530112 is a wasteful number, since it uses less digits than its factorization.

523964040530112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 523964040530112 its reverse (211035040469325), we get a palindrome (734999080999437).

The spelling of 523964040530112 in words is "five hundred twenty-three trillion, nine hundred sixty-four billion, forty million, five hundred thirty thousand, one hundred twelve".