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5307344856 = 2334117110487
BaseRepresentation
bin1001111000101011…
…11010011111011000
3111200212201001110000
410330111322133120
541332140013411
62234350453000
7245343454422
oct47425723730
914625631400
105307344856
112283948820
121041504160
1366772b858
14384c27812
15210e16956
hex13c57a7d8

5307344856 has 160 divisors (see below), whose sum is σ = 16446862080. Its totient is φ = 1585483200.

The previous prime is 5307344851. The next prime is 5307344881. The reversal of 5307344856 is 6584437035.

5307344856 is a `hidden beast` number, since 530 + 7 + 34 + 4 + 85 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307344851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 500845 + ... + 511331.

It is an arithmetic number, because the mean of its divisors is an integer number (102792888).

Almost surely, 25307344856 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 5307344856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223431040).

5307344856 is an abundant number, since it is smaller than the sum of its proper divisors (11139517224).

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

5307344856 is a wasteful number, since it uses less digits than its factorization.

5307344856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10587 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5307344856 is about 72851.5261061839. The cubic root of 5307344856 is about 1744.3184291816.

The spelling of 5307344856 in words is "five billion, three hundred seven million, three hundred forty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 81 88 99 108 132 142 162 198 213 216 264 284 297 324 396 426 568 594 639 648 781 792 852 891 1188 1278 1562 1704 1782 1917 2343 2376 2556 3124 3564 3834 4686 5112 5751 6248 7029 7128 7668 9372 10487 11502 14058 15336 18744 20974 21087 23004 28116 31461 41948 42174 46008 56232 62922 63261 83896 84348 94383 115357 125844 126522 168696 188766 230714 251688 253044 283149 346071 377532 461428 506088 566298 692142 744577 755064 849447 922856 1038213 1132596 1384284 1489154 1698894 2076426 2233731 2265192 2768568 2978308 3114639 3397788 4152852 4467462 5956616 6229278 6701193 6795576 8190347 8305704 8934924 9343917 12458556 13402386 16380694 17869848 18687834 20103579 24571041 24917112 26804772 32761388 37375668 40207158 49142082 53609544 60310737 65522776 73713123 74751336 80414316 98284164 120621474 147426246 160828632 196568328 221139369 241242948 294852492 442278738 482485896 589704984 663418107 884557476 1326836214 1769114952 2653672428 5307344856