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5477316768 = 25337111729167
BaseRepresentation
bin1010001100111100…
…10011100010100000
3112010201112112002000
411012132103202200
542204143114033
62303301524000
7252506265360
oct50636234240
915121475060
105477316768
112360891180
12108a413600
13693a01151
1439d6309a0
15220cdda13
hex1467938a0

5477316768 has 768 divisors, whose sum is σ = 21946982400. Its totient is φ = 1285079040.

The previous prime is 5477316749. The next prime is 5477316769. The reversal of 5477316768 is 8676137745.

5477316768 is a `hidden beast` number, since 5 + 477 + 3 + 167 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5477316769) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32798221 + ... + 32798387.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 25477316768 is an apocalyptic number.

5477316768 is a gapful number since it is divisible by the number (58) 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 5477316768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10973491200).

5477316768 is an abundant number, since it is smaller than the sum of its proper divisors (16469665632).

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

5477316768 is a wasteful number, since it uses less digits than its factorization.

5477316768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 5477316768 is about 74008.8965462937. The cubic root of 5477316768 is about 1762.7441660826.

The spelling of 5477316768 in words is "five billion, four hundred seventy-seven million, three hundred sixteen thousand, seven hundred sixty-eight".