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5346472320 = 273257219997
BaseRepresentation
bin1001111101010110…
…01011000110000000
3111210121022221020100
410332223023012000
541422144103240
62242305242400
7246330156600
oct47653130600
914717287210
105346472320
1122a3a42872
121052633400
1367287b1b7
1438a0d0c00
15214594e30
hex13eacb180

5346472320 has 576 divisors, whose sum is σ = 22629250800. Its totient is φ = 1156571136.

The previous prime is 5346472309. The next prime is 5346472321. The reversal of 5346472320 is 232746435.

5346472320 is a `hidden beast` number, since 5 + 3 + 4 + 647 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346472321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5362062 + ... + 5363058.

Almost surely, 25346472320 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 5346472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314625400).

5346472320 is an abundant number, since it is smaller than the sum of its proper divisors (17282778480).

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

5346472320 is a wasteful number, since it uses less digits than its factorization.

5346472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5346472320 is about 73119.5754911091. The cubic root of 5346472320 is about 1748.5944981486.

The spelling of 5346472320 in words is "five billion, three hundred forty-six million, four hundred seventy-two thousand, three hundred twenty".