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5156730864 = 243433711807
BaseRepresentation
bin1001100110101110…
…10111011111110000
3111022101022001220000
410303113113133300
541030110341424
62211410350000
7241534326525
oct46327273760
914271261800
105156730864
11220692724a
12bbab8b300
1364247634c
1436cc1d14c
15202ab53c9
hex1335d77f0

5156730864 has 100 divisors (see below), whose sum is σ = 14970631104. Its totient is φ = 1713664512.

The previous prime is 5156730833. The next prime is 5156730871. The reversal of 5156730864 is 4680376515.

5156730864 is a `hidden beast` number, since 5 + 1 + 567 + 3 + 0 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 430849 + ... + 442655.

Almost surely, 25156730864 is an apocalyptic number.

5156730864 is a gapful number since it is divisible by the number (54) 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 5156730864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485315552).

5156730864 is an abundant number, since it is smaller than the sum of its proper divisors (9813900240).

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

5156730864 is a wasteful number, since it uses less digits than its factorization.

5156730864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12164 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5156730864 is about 71810.3813107826. The cubic root of 5156730864 is about 1727.6595104598.

The spelling of 5156730864 in words is "five billion, one hundred fifty-six million, seven hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 337 432 648 674 1011 1296 1348 2022 2696 3033 4044 5392 6066 8088 9099 11807 12132 16176 18198 23614 24264 27297 35421 36396 47228 48528 54594 70842 72792 94456 106263 109188 141684 145584 188912 212526 218376 283368 318789 425052 436752 566736 637578 850104 956367 1275156 1700208 1912734 2550312 3825468 3978959 5100624 7650936 7957918 11936877 15301872 15915836 23873754 31831672 35810631 47747508 63663344 71621262 95495016 107431893 143242524 190990032 214863786 286485048 322295679 429727572 572970096 644591358 859455144 1289182716 1718910288 2578365432 5156730864