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524112425424 = 2433717192918503
BaseRepresentation
bin1111010000001111000…
…10001111000111010000
31212002211021222211122000
413220013202033013100
532041340240103144
61040435100114000
752602665052630
oct7500742170720
91762737884560
10524112425424
11192302889615
12856b0235900
133a56781b423
141b51d7666c0
15d977930769
hex7a0788f1d0

524112425424 has 640 divisors, whose sum is σ = 1982444544000. Its totient is φ = 128908910592.

The previous prime is 524112425341. The next prime is 524112425461. The reversal of 524112425424 is 424524211425.

524112425424 is a `hidden beast` number, since 52 + 41 + 1 + 24 + 2 + 542 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28316557 + ... + 28335059.

It is an arithmetic number, because the mean of its divisors is an integer number (3097569600).

Almost surely, 2524112425424 is an apocalyptic number.

524112425424 is a gapful number since it is divisible by the number (54) 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 524112425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991222272000).

524112425424 is an abundant number, since it is smaller than the sum of its proper divisors (1458332118576).

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

524112425424 is a wasteful number, since it uses less digits than its factorization.

524112425424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18592 (or 18580 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 524112425424 its reverse (424524211425), we get a palindrome (948636636849).

The spelling of 524112425424 in words is "five hundred twenty-four billion, one hundred twelve million, four hundred twenty-five thousand, four hundred twenty-four".