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1014470016 = 27372361269
BaseRepresentation
bin111100011101111…
…001010110000000
32121200220102020120
4330131321112000
54034201020031
6244355340240
734065565350
oct7435712600
92550812216
101014470016
1148070737a
122438b1680
13132235521
1498a36b60
155e0dda96
hex3c779580

1014470016 has 256 divisors, whose sum is σ = 3278361600. Its totient is φ = 271687680.

The previous prime is 1014470003. The next prime is 1014470027. The reversal of 1014470016 is 6100744101.

1014470016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 3771130 + ... + 3771398.

It is an arithmetic number, because the mean of its divisors is an integer number (12806100).

Almost surely, 21014470016 is an apocalyptic number.

1014470016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639180800).

1014470016 is an abundant number, since it is smaller than the sum of its proper divisors (2263891584).

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

1014470016 is a wasteful number, since it uses less digits than its factorization.

1014470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1014470016 is about 31850.7459253312. The cubic root of 1014470016 is about 1004.8002593073.

The spelling of 1014470016 in words is "one billion, fourteen million, four hundred seventy thousand, sixteen".