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5416163280 = 24335112172353
BaseRepresentation
bin1010000101101010…
…00001011111010000
3111222110110121021000
411002311001133100
542043014211110
62253235102000
7251134425333
oct50265013720
914873417230
105416163280
11232a312700
121071a41900
1368413c158
1439547261a
1521a75e1c0
hex142d417d0

5416163280 has 960 divisors, whose sum is σ = 23083522560. Its totient is φ = 1159741440.

The previous prime is 5416163213. The next prime is 5416163317. The reversal of 5416163280 is 823616145.

It is a happy number.

5416163280 is a `hidden beast` number, since 5 + 4 + 1 + 616 + 32 + 8 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 102191734 + ... + 102191786.

It is an arithmetic number, because the mean of its divisors is an integer number (24045336).

Almost surely, 25416163280 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 5416163280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541761280).

5416163280 is an abundant number, since it is smaller than the sum of its proper divisors (17667359280).

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

5416163280 is a wasteful number, since it uses less digits than its factorization.

5416163280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5416163280 is about 73594.5873009694. The cubic root of 5416163280 is about 1756.1593333386.

The spelling of 5416163280 in words is "five billion, four hundred sixteen million, one hundred sixty-three thousand, two hundred eighty".