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5688188712 = 23361757373
BaseRepresentation
bin1010100110000101…
…01101111100101000
3112200102022221000000
411103002231330220
543122134014322
62340233343000
7260646543363
oct52302557450
915612287000
105688188712
11245991a408
121128b67a60
136c85c3b4b
143bd6430da
152345943ac
hex1530adf28

5688188712 has 112 divisors (see below), whose sum is σ = 16931641140. Its totient is φ = 1784498688.

The previous prime is 5688188711. The next prime is 5688188741. The reversal of 5688188712 is 2178818865.

5688188712 is a `hidden beast` number, since 568 + 8 + 1 + 8 + 8 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4710625956 + 977562756 = 68634^2 + 31266^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5688188711) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 70458 + ... + 127830.

Almost surely, 25688188712 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 5688188712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465820570).

5688188712 is an abundant number, since it is smaller than the sum of its proper divisors (11243452428).

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

5688188712 is a wasteful number, since it uses less digits than its factorization.

5688188712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57414 (or 57395 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The square root of 5688188712 is about 75420.0816228675. The cubic root of 5688188712 is about 1785.0812928163.

The spelling of 5688188712 in words is "five billion, six hundred eighty-eight million, one hundred eighty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2754 2916 3672 4131 5508 5832 8262 11016 12393 16524 24786 33048 49572 57373 99144 114746 172119 229492 344238 458984 516357 688476 975341 1032714 1376952 1549071 1950682 2065428 2926023 3098142 3901364 4130856 4647213 5852046 6196284 7802728 8778069 9294426 11704092 12392568 13941639 17556138 18588852 23408184 26334207 27883278 35112276 37177704 41824917 52668414 55766556 70224552 79002621 83649834 105336828 111533112 158005242 167299668 210673656 237007863 316010484 334599336 474015726 632020968 711023589 948031452 1422047178 1896062904 2844094356 5688188712