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5206006080 = 263451119312
BaseRepresentation
bin1001101100100110…
…10101100101000000
3111102211000111210000
410312103111211000
541130214143310
62220330440000
7243003215202
oct46623254500
914384014700
105206006080
112231722470
121013593000
1364c739892
143755a8772
1520709a4c0
hex1364d5940

5206006080 has 840 divisors, whose sum is σ = 21973580640. Its totient is φ = 1157068800.

The previous prime is 5206006027. The next prime is 5206006103. The reversal of 5206006080 is 806006025.

5206006080 is a `hidden beast` number, since 52 + 0 + 6 + 0 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 167935665 + ... + 167935695.

Almost surely, 25206006080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10986790320).

5206006080 is an abundant number, since it is smaller than the sum of its proper divisors (16767574560).

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

5206006080 is a wasteful number, since it uses less digits than its factorization.

5206006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5206006080 is about 72152.6581630920. The cubic root of 5206006080 is about 1733.1449670387.

The spelling of 5206006080 in words is "five billion, two hundred six million, six thousand, eighty".