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5746531456 = 271916714149
BaseRepresentation
bin1010101101000010…
…10001110010000000
3112211111010001012101
411112201101302000
543232103001311
62350120040144
7262255466011
oct52641216200
915744101171
105746531456
112489849156
121144603054
13707710693
143c72ad008
1523976aec1
hex156851c80

5746531456 has 64 divisors (see below), whose sum is σ = 12123720000. Its totient is φ = 2705550336.

The previous prime is 5746531409. The next prime is 5746531459. The reversal of 5746531456 is 6541356475.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5746531459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399070 + ... + 413218.

It is an arithmetic number, because the mean of its divisors is an integer number (189433125).

Almost surely, 25746531456 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 5746531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061860000).

5746531456 is an abundant number, since it is smaller than the sum of its proper divisors (6377188544).

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

5746531456 is a wasteful number, since it uses less digits than its factorization.

5746531456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14349 (or 14337 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 46.

The square root of 5746531456 is about 75805.8800885525. The cubic root of 5746531456 is about 1791.1636323490.

The spelling of 5746531456 in words is "five billion, seven hundred forty-six million, five hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 167 304 334 608 668 1216 1336 2432 2672 3173 5344 6346 10688 12692 14149 21376 25384 28298 50768 56596 101536 113192 203072 226384 268831 406144 452768 537662 905536 1075324 1811072 2150648 2362883 4301296 4725766 8602592 9451532 17205184 18903064 34410368 37806128 44894777 75612256 89789554 151224512 179579108 302449024 359158216 718316432 1436632864 2873265728 5746531456