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5614742016 = 293313157199
BaseRepresentation
bin1010011101010101…
…00010101000000000
3112111022010110002000
411032222202220000
542444333221031
62325051224000
7256065343152
oct51652425000
915438113060
105614742016
112421414864
121108448000
136b6319570
143b39a4ad2
1522cdd73e6
hex14eaa2a00

5614742016 has 320 divisors, whose sum is σ = 18103008000. Its totient is φ = 1707982848.

The previous prime is 5614741987. The next prime is 5614742039. The reversal of 5614742016 is 6102474165.

5614742016 is a `hidden beast` number, since 5 + 614 + 7 + 4 + 20 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28214685 + ... + 28214883.

It is an arithmetic number, because the mean of its divisors is an integer number (56571900).

Almost surely, 25614742016 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 5614742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051504000).

5614742016 is an abundant number, since it is smaller than the sum of its proper divisors (12488265984).

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

5614742016 is a wasteful number, since it uses less digits than its factorization.

5614742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5614742016 is about 74931.5822333948. The cubic root of 5614742016 is about 1777.3649113096.

The spelling of 5614742016 in words is "five billion, six hundred fourteen million, seven hundred forty-two thousand, sixteen".