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5788526016 = 2637213194753
BaseRepresentation
bin1010110010000010…
…11110010111000000
3112221102010120220110
411121001132113000
543323330313031
62354220111320
7263305442100
oct53101362700
915842116813
105788526016
1125005212a9
121156695540
13713325030
143ccac1200
1523d2b3c46
hex15905e5c0

5788526016 has 672 divisors, whose sum is σ = 21015106560. Its totient is φ = 1388814336.

The previous prime is 5788526011. The next prime is 5788526017. The reversal of 5788526016 is 6106258875.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5788526011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109217446 + ... + 109217498.

It is an arithmetic number, because the mean of its divisors is an integer number (31272480).

Almost surely, 25788526016 is an apocalyptic number.

5788526016 is a gapful number since it is divisible by the number (56) 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 5788526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507553280).

5788526016 is an abundant number, since it is smaller than the sum of its proper divisors (15226580544).

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

5788526016 is a wasteful number, since it uses less digits than its factorization.

5788526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 5788526016 is about 76082.3633702319. The cubic root of 5788526016 is about 1795.5162080697.

The spelling of 5788526016 in words is "five billion, seven hundred eighty-eight million, five hundred twenty-six thousand, sixteen".