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6416376912 = 243211171912541
BaseRepresentation
bin1011111100111001…
…00010010001010000
3121120011112201102100
411332130202101100
5101120043030122
62540405120400
7315001206141
oct57634422120
917504481370
106416376912
1127a2971a40
1212b09b9100
137b342263a
1444c237ac8
15278483aac
hex17e722450

6416376912 has 240 divisors, whose sum is σ = 21835120320. Its totient is φ = 1733529600.

The previous prime is 6416376871. The next prime is 6416376937. The reversal of 6416376912 is 2196736146.

6416376912 is a `hidden beast` number, since 6 + 4 + 1 + 637 + 6 + 9 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505362 + ... + 517902.

It is an arithmetic number, because the mean of its divisors is an integer number (90979668).

Almost surely, 26416376912 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 6416376912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917560160).

6416376912 is an abundant number, since it is smaller than the sum of its proper divisors (15418743408).

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

6416376912 is a wasteful number, since it uses less digits than its factorization.

6416376912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12602 (or 12593 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6416376912 is about 80102.2903043352. The cubic root of 6416376912 is about 1858.2178281515.

The spelling of 6416376912 in words is "six billion, four hundred sixteen million, three hundred seventy-six thousand, nine hundred twelve".