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5479866000 = 2433537219109
BaseRepresentation
bin1010001101010000…
…00001111010010000
3112010220100000222000
411012220001322100
542210321203000
62303432314000
7252540043500
oct50650017220
915126300860
105479866000
112362272484
12108b242900
136943b457b
1439dad5a00
15221144000
hex146a01e90

5479866000 has 960 divisors, whose sum is σ = 24257376000. Its totient is φ = 1175731200.

The previous prime is 5479865983. The next prime is 5479866011. The reversal of 5479866000 is 6689745.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50273946 + ... + 50274054.

It is an arithmetic number, because the mean of its divisors is an integer number (25268100).

Almost surely, 25479866000 is an apocalyptic number.

5479866000 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 5479866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128688000).

5479866000 is an abundant number, since it is smaller than the sum of its proper divisors (18777510000).

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

5479866000 is a wasteful number, since it uses less digits than its factorization.

5479866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5479866000 is about 74026.1170128489. The cubic root of 5479866000 is about 1763.0175935696.

The spelling of 5479866000 in words is "five billion, four hundred seventy-nine million, eight hundred sixty-six thousand".