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5559552000 = 211325319127
BaseRepresentation
bin1010010110110000…
…00000100000000000
3112100110021111121100
411023120000200000
542341221131000
62315400254400
7254525261262
oct51330004000
915313244540
105559552000
1123a3249782
1210b1a71400
136a7a64a52
143aa519b32
15228134a00
hex14b600800

5559552000 has 576 divisors, whose sum is σ = 21259929600. Its totient is φ = 1393459200.

The previous prime is 5559551951. The next prime is 5559552049. The reversal of 5559552000 is 2559555.

5559552000 is a `hidden beast` number, since 55 + 59 + 552 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5559551951) and next prime (5559552049).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43775937 + ... + 43776063.

It is an arithmetic number, because the mean of its divisors is an integer number (36909600).

Almost surely, 25559552000 is an apocalyptic number.

5559552000 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 5559552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629964800).

5559552000 is an abundant number, since it is smaller than the sum of its proper divisors (15700377600).

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

5559552000 is a wasteful number, since it uses less digits than its factorization.

5559552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The square root of 5559552000 is about 74562.4033947404. The cubic root of 5559552000 is about 1771.5221991046.

The spelling of 5559552000 in words is "five billion, five hundred fifty-nine million, five hundred fifty-two thousand".