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5266146816 = 29327283281
BaseRepresentation
bin1001110011110001…
…10000011000000000
3111121000011222100200
410321320300120000
541241113144231
62230315445200
7244333336500
oct47170603000
914530158320
105266146816
11226266a057
12102b756800
1365c035908
1437d581a00
1520c4c9be6
hex139e30600

5266146816 has 360 divisors, whose sum is σ = 17956522584. Its totient is φ = 1481195520.

The previous prime is 5266146811. The next prime is 5266146829. The reversal of 5266146816 is 6186416625.

5266146816 is a `hidden beast` number, since 5 + 26 + 614 + 6 + 8 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5266146811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18740596 + ... + 18740876.

Almost surely, 25266146816 is an apocalyptic number.

5266146816 is a gapful number since it is divisible by the number (56) 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 5266146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978261292).

5266146816 is an abundant number, since it is smaller than the sum of its proper divisors (12690375768).

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

5266146816 is a wasteful number, since it uses less digits than its factorization.

5266146816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 5266146816 is about 72568.2218054156. The cubic root of 5266146816 is about 1739.7933008529.

The spelling of 5266146816 in words is "five billion, two hundred sixty-six million, one hundred forty-six thousand, eight hundred sixteen".