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5803370496 = 211337112947
BaseRepresentation
bin1010110011110100…
…00110100000000000
3112222110001202201000
411121322012200000
543341130323441
62355510212000
7263545556340
oct53172064000
915873052630
105803370496
112508940170
12115b654000
13716421951
143d0a66d20
1523e7472b6
hex159e86800

5803370496 has 768 divisors, whose sum is σ = 22643712000. Its totient is φ = 1424424960.

The previous prime is 5803370477. The next prime is 5803370497. The reversal of 5803370496 is 6940733085.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×58033704962 = 67358218227686572032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5803370497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123475945 + ... + 123475991.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 25803370496 is an apocalyptic number.

5803370496 is a gapful number since it is divisible by the number (56) 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 5803370496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856000).

5803370496 is an abundant number, since it is smaller than the sum of its proper divisors (16840341504).

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

5803370496 is a wasteful number, since it uses less digits than its factorization.

5803370496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5803370496 is about 76179.8562350967. The cubic root of 5803370496 is about 1797.0497448611.

The spelling of 5803370496 in words is "five billion, eight hundred three million, three hundred seventy thousand, four hundred ninety-six".