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5347075680 = 253452941347
BaseRepresentation
bin1001111101011010…
…11110011001100000
3111210122110120220000
410332231132121200
541422322410210
62242330220000
7246335251632
oct47655363140
914718416800
105347075680
1122a4315111
121052884600
13672a2ca0b
1438a20aa52
15214663ac0
hex13eb5e660

5347075680 has 480 divisors, whose sum is σ = 20055198240. Its totient is φ = 1339269120.

The previous prime is 5347075631. The next prime is 5347075687. The reversal of 5347075680 is 865707435.

5347075680 is a `hidden beast` number, since 53 + 470 + 7 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347075687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15409267 + ... + 15409613.

It is an arithmetic number, because the mean of its divisors is an integer number (41781663).

Almost surely, 25347075680 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 5347075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027599120).

5347075680 is an abundant number, since it is smaller than the sum of its proper divisors (14708122560).

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

5347075680 is a wasteful number, since it uses less digits than its factorization.

5347075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5347075680 is about 73123.7012192353. The cubic root of 5347075680 is about 1748.6602731262.

The spelling of 5347075680 in words is "five billion, three hundred forty-seven million, seventy-five thousand, six hundred eighty".