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5332809900 = 223521117234133
BaseRepresentation
bin1001111011101110…
…00011100010101100
3111202122121210220210
410331313003202230
541410144404100
62241100342420
7246103064505
oct47567034254
914678553823
105332809900
112297261010
121049b44a10
1366caa6622
14388375bac
15213296c50
hex13ddc38ac

5332809900 has 288 divisors, whose sum is σ = 18601809408. Its totient is φ = 1163571200.

The previous prime is 5332809887. The next prime is 5332809901. The reversal of 5332809900 is 99082335.

It is a super-2 number, since 2×53328099002 = 56877722859076020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5332809901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1288234 + ... + 1292366.

It is an arithmetic number, because the mean of its divisors is an integer number (64589616).

Almost surely, 25332809900 is an apocalyptic number.

5332809900 is a gapful number since it is divisible by the number (50) 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 5332809900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300904704).

5332809900 is an abundant number, since it is smaller than the sum of its proper divisors (13268999508).

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

5332809900 is a wasteful number, since it uses less digits than its factorization.

5332809900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 5332809900 is about 73026.0905430381. The cubic root of 5332809900 is about 1747.1037699608.

The spelling of 5332809900 in words is "five billion, three hundred thirty-two million, eight hundred nine thousand, nine hundred".