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5430430456 = 2311232315371
BaseRepresentation
bin1010000111010110…
…11100101011111000
3112000110022110010221
411003223130223320
542110142233311
62254504545424
7251366616523
oct50353345370
915013273127
105430430456
112337377860
121076782274
13687096079
14397307bba
1521bb2b671
hex143adcaf8

5430430456 has 192 divisors, whose sum is σ = 12384368640. Its totient is φ = 2210208000.

The previous prime is 5430430441. The next prime is 5430430457. The reversal of 5430430456 is 6540340345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430430457) 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, 76484901 + ... + 76484971.

It is an arithmetic number, because the mean of its divisors is an integer number (64501920).

Almost surely, 25430430456 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 5430430456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192184320).

5430430456 is an abundant number, since it is smaller than the sum of its proper divisors (6953938184).

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

5430430456 is a wasteful number, since it uses less digits than its factorization.

5430430456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 5430430456 is about 73691.4544299405. The cubic root of 5430430456 is about 1757.6999975149.

The spelling of 5430430456 in words is "five billion, four hundred thirty million, four hundred thirty thousand, four hundred fifty-six".