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5726028672 = 27357213172
BaseRepresentation
bin1010101010100110…
…00100001110000000
3112210001112101200000
411111103010032000
543211330404142
62344104400000
7261616304100
oct52523041600
915701471600
105726028672
112479215101
121139776000
137033b2460
143c4693200
15237a6b14c
hex1554c4380

5726028672 has 864 divisors, whose sum is σ = 22739600520. Its totient is φ = 1421328384.

The previous prime is 5726028667. The next prime is 5726028683. The reversal of 5726028672 is 2768206275.

5726028672 is a `hidden beast` number, since 572 + 6 + 0 + 2 + 8 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 336825208 + ... + 336825224.

Almost surely, 25726028672 is an apocalyptic number.

5726028672 is a gapful number since it is divisible by the number (52) 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 5726028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369800260).

5726028672 is an abundant number, since it is smaller than the sum of its proper divisors (17013571848).

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

5726028672 is a wasteful number, since it uses less digits than its factorization.

5726028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5726028672 is about 75670.5271026970. The cubic root of 5726028672 is about 1789.0308905830.

The spelling of 5726028672 in words is "five billion, seven hundred twenty-six million, twenty-eight thousand, six hundred seventy-two".