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5431657920 = 26351323127149
BaseRepresentation
bin1010000111100000…
…01000010111000000
3112000112121210220120
411003300020113000
542111001023140
62254551140240
7251413221243
oct50360102700
915015553816
105431657920
112338035a97
121077074680
13687405990
1439754725a
1521bcc01d0
hex143c085c0

5431657920 has 448 divisors, whose sum is σ = 19663257600. Its totient is φ = 1260306432.

The previous prime is 5431657909. The next prime is 5431657937. The reversal of 5431657920 is 297561345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36454006 + ... + 36454154.

It is an arithmetic number, because the mean of its divisors is an integer number (43891200).

Almost surely, 25431657920 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 5431657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9831628800).

5431657920 is an abundant number, since it is smaller than the sum of its proper divisors (14231599680).

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

5431657920 is a wasteful number, since it uses less digits than its factorization.

5431657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5431657920 is about 73699.7823606013. The cubic root of 5431657920 is about 1757.8324210831.

The spelling of 5431657920 in words is "five billion, four hundred thirty-one million, six hundred fifty-seven thousand, nine hundred twenty".