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5370805440 = 263657111323
BaseRepresentation
bin1010000000001111…
…11111110011000000
3111212022010012000000
411000013333303000
541444411233230
62244535000000
7250044043620
oct50007776300
914768105000
105370805440
112306752690
12105a809000
1367791a9b0
1438d426880
1521679eb60
hex1401ffcc0

5370805440 has 1568 divisors, whose sum is σ = 26864925696. Its totient is φ = 985374720.

The previous prime is 5370805409. The next prime is 5370805477. The reversal of 5370805440 is 445080735.

5370805440 is a `hidden beast` number, since 5 + 37 + 0 + 80 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5370805395 and 5370805404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 233513269 + ... + 233513291.

Almost surely, 25370805440 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 5370805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432462848).

5370805440 is an abundant number, since it is smaller than the sum of its proper divisors (21494120256).

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

5370805440 is a wasteful number, since it uses less digits than its factorization.

5370805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5370805440 is about 73285.7792480915. The cubic root of 5370805440 is about 1751.2432460799.

The spelling of 5370805440 in words is "five billion, three hundred seventy million, eight hundred five thousand, four hundred forty".