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5414452560 = 2433511317351
BaseRepresentation
bin1010000101011100…
…11111110101010000
3111222100020200121000
411002232133311100
542042044440220
62253134302000
7251114041656
oct50256376520
914870220530
105414452560
112329354390
121071357900
136839905aa
14395148dd6
1521a522390
hex142b9fd50

5414452560 has 320 divisors, whose sum is σ = 21004369920. Its totient is φ = 1270080000.

The previous prime is 5414452531. The next prime is 5414452567. The reversal of 5414452560 is 652544145.

5414452560 is a `hidden beast` number, since 5 + 4 + 1 + 44 + 52 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414452567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732885 + ... + 740235.

It is an arithmetic number, because the mean of its divisors is an integer number (65638656).

Almost surely, 25414452560 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 5414452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502184960).

5414452560 is an abundant number, since it is smaller than the sum of its proper divisors (15589917360).

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

5414452560 is a wasteful number, since it uses less digits than its factorization.

5414452560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5414452560 is about 73582.9637891815. The cubic root of 5414452560 is about 1755.9744168764.

The spelling of 5414452560 in words is "five billion, four hundred fourteen million, four hundred fifty-two thousand, five hundred sixty".