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523195033140 = 223651317397409
BaseRepresentation
bin1111001110100001101…
…10101010011000110100
31212000110100202111000000
413213100312222120310
532033000412030030
61040204045151300
752541155255563
oct7472066523064
91760410674000
10523195033140
11191981a5817a
1285494b5b530
133a44c745560
141b47399dbda
15d92211a860
hex79d0daa634

523195033140 has 672 divisors, whose sum is σ = 1887717152160. Its totient is φ = 120609865728.

The previous prime is 523195033087. The next prime is 523195033183. The reversal of 523195033140 is 41330591325.

523195033140 is a `hidden beast` number, since 5 + 2 + 3 + 1 + 9 + 503 + 3 + 140 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16880245776 + 506314787364 = 129924^2 + 711558^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 523195033095 and 523195033104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1279205256 + ... + 1279205664.

It is an arithmetic number, because the mean of its divisors is an integer number (2809102905).

Almost surely, 2523195033140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523195033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943858576080).

523195033140 is an abundant number, since it is smaller than the sum of its proper divisors (1364522119020).

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

523195033140 is a wasteful number, since it uses less digits than its factorization.

523195033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 523195033140 in words is "five hundred twenty-three billion, one hundred ninety-five million, thirty-three thousand, one hundred forty".