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5166786240 = 26325711231013
BaseRepresentation
bin1001100111111011…
…01110011011000000
3111100002012221021100
410303331232123000
541040144124430
62212410054400
7242015646510
oct46375563300
914302187240
105166786240
112211574a80
12100241a400
13644587185
143702b9840
152038ee960
hex133f6e6c0

5166786240 has 672 divisors, whose sum is σ = 23142951936. Its totient is φ = 1025925120.

The previous prime is 5166786239. The next prime is 5166786253. The reversal of 5166786240 is 426876615.

5166786240 is a `hidden beast` number, since 5 + 16 + 6 + 7 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5099974 + ... + 5100986.

Almost surely, 25166786240 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 5166786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571475968).

5166786240 is an abundant number, since it is smaller than the sum of its proper divisors (17976165696).

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

5166786240 is a wasteful number, since it uses less digits than its factorization.

5166786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5166786240 is about 71880.3606000972. The cubic root of 5166786240 is about 1728.7817322032.

The spelling of 5166786240 in words is "five billion, one hundred sixty-six million, seven hundred eighty-six thousand, two hundred forty".