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5261257728 = 210322324821
BaseRepresentation
bin1001110011001100…
…00110110000000000
3111120122222120210100
410321212012300000
541233340221403
62230023002400
7244243644546
oct47146066000
914518876710
105261257728
11225a92a891
121029b99400
1365b01346c
1437ca6bd96
1520bd612a3
hex139986c00

5261257728 has 132 divisors (see below), whose sum is σ = 15852917808. Its totient is φ = 1677434880.

The previous prime is 5261257711. The next prime is 5261257753. The reversal of 5261257728 is 8277521625.

5261257728 is a `hidden beast` number, since 5 + 2 + 612 + 5 + 7 + 7 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199558 + ... + 224378.

Almost surely, 25261257728 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 5261257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926458904).

5261257728 is an abundant number, since it is smaller than the sum of its proper divisors (10591660080).

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

5261257728 is a wasteful number, since it uses less digits than its factorization.

5261257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24870 (or 24849 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 5261257728 is about 72534.5278333016. The cubic root of 5261257728 is about 1739.2547264120.

The spelling of 5261257728 in words is "five billion, two hundred sixty-one million, two hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2208 2304 2944 3072 3312 4416 4608 5888 6624 8832 9216 11776 13248 17664 23552 24821 26496 35328 49642 52992 70656 74463 99284 105984 148926 198568 211968 223389 297852 397136 446778 570883 595704 794272 893556 1141766 1191408 1588544 1712649 1787112 2283532 2382816 3177088 3425298 3574224 4567064 4765632 5137947 6354176 6850596 7148448 9134128 9531264 10275894 12708352 13701192 14296896 18268256 19062528 20551788 25416704 27402384 28593792 36536512 38125056 41103576 54804768 57187584 73073024 76250112 82207152 109609536 114375168 146146048 164414304 219219072 228750336 292292096 328828608 438438144 584584192 657657216 876876288 1315314432 1753752576 2630628864 5261257728