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523230243840 = 2103651031361
BaseRepresentation
bin1111001110100101111…
…00111110110000000000
31212000112211000101000000
413213102330332300000
532033033420300330
61040211344000000
752542063455643
oct7472274766000
91760484011000
10523230243840
1119199a917527
12854a4900000
133a456b231a5
141b478527a5a
15d925273560
hex79d2f3ec00

523230243840 has 616 divisors, whose sum is σ = 1901514764448. Its totient is φ = 138071900160.

The previous prime is 523230243839. The next prime is 523230243857. The reversal of 523230243840 is 48342032325.

523230243840 is a `hidden beast` number, since 5 + 23 + 230 + 24 + 384 + 0 = 666.

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 = 523230243795 and 523230243804.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 384444760 + ... + 384446120.

Almost surely, 2523230243840 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 523230243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950757382224).

523230243840 is an abundant number, since it is smaller than the sum of its proper divisors (1378284520608).

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

523230243840 is a wasteful number, since it uses less digits than its factorization.

523230243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 523230243840 in words is "five hundred twenty-three billion, two hundred thirty million, two hundred forty-three thousand, eight hundred forty".