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5476567680 = 2733517103181
BaseRepresentation
bin1010001100110110…
…11100101010000000
3112010200010110112000
411012123130222000
542204000131210
62303233504000
7252500025423
oct50633345200
915120113460
105476567680
11236041a3a1
12108a112000
136937cb1bc
1439d4b79ba
15220be1ac0
hex1466dca80

5476567680 has 512 divisors, whose sum is σ = 20851084800. Its totient is φ = 1353646080.

The previous prime is 5476567673. The next prime is 5476567693. The reversal of 5476567680 is 867656745.

5476567680 is a `hidden beast` number, since 5 + 4 + 76 + 567 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30257190 + ... + 30257370.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775).

Almost surely, 25476567680 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 5476567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10425542400).

5476567680 is an abundant number, since it is smaller than the sum of its proper divisors (15374517120).

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

5476567680 is a wasteful number, since it uses less digits than its factorization.

5476567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 5476567680 is about 74003.8355762727. The cubic root of 5476567680 is about 1762.6638036985.

The spelling of 5476567680 in words is "five billion, four hundred seventy-six million, five hundred sixty-seven thousand, six hundred eighty".