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5500968000 = 263531167311
BaseRepresentation
bin1010001111110001…
…00001110001000000
3112012101001010110120
411013320201301000
542231221434000
62305504500240
7253214312403
oct50770416100
915171033416
105500968000
112373175750
12109631a680
13698892468
143a2829d3a
15222e116a0
hex147e21c40

5500968000 has 448 divisors, whose sum is σ = 20175906816. Its totient is φ = 1309440000.

The previous prime is 5500967993. The next prime is 5500968013. The reversal of 5500968000 is 8690055.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17687845 + ... + 17688155.

Almost surely, 25500968000 is an apocalyptic number.

5500968000 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 5500968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087953408).

5500968000 is an abundant number, since it is smaller than the sum of its proper divisors (14674938816).

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

5500968000 is a wasteful number, since it uses less digits than its factorization.

5500968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5500968000 is about 74168.5108384953. The cubic root of 5500968000 is about 1765.2777184728.

It can be divided in two parts, 550096 and 8000, that added together give a triangular number (558096 = T1056).

The spelling of 5500968000 in words is "five billion, five hundred million, nine hundred sixty-eight thousand".