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5818042440 = 23325721917359
BaseRepresentation
bin1010110101100100…
…00100100001001000
3120000110200011211100
411122302010201020
543403404324230
62401152501400
7264114354600
oct53262044110
916013604740
105818042440
112516151441
12116454a860
1371948ab82
143d29a5c00
15240b94660
hex15ac84848

5818042440 has 288 divisors, whose sum is σ = 23154768000. Its totient is φ = 1259774208.

The previous prime is 5818042429. The next prime is 5818042457. The reversal of 5818042440 is 442408185.

5818042440 is a `hidden beast` number, since 58 + 180 + 424 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5818042395 and 5818042404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326481 + ... + 343839.

It is an arithmetic number, because the mean of its divisors is an integer number (80398500).

Almost surely, 25818042440 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 5818042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577384000).

5818042440 is an abundant number, since it is smaller than the sum of its proper divisors (17336725560).

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

5818042440 is a wasteful number, since it uses less digits than its factorization.

5818042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17409 (or 17395 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5818042440 is about 76276.0935024861. The cubic root of 5818042440 is about 1798.5628899617.

The spelling of 5818042440 in words is "five billion, eight hundred eighteen million, forty-two thousand, four hundred forty".