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5687641344 = 28371196179
BaseRepresentation
bin1010100110000001…
…01000010100000000
3112200101022010011010
411103000220110000
543122014010334
62340213520520
7260642103510
oct52300502400
915611263133
105687641344
112459586140
121128943140
136c8461968
143bd53d840
152344d70e9
hex153028500

5687641344 has 144 divisors (see below), whose sum is σ = 18872824320. Its totient is φ = 1477294080.

The previous prime is 5687641343. The next prime is 5687641391. The reversal of 5687641344 is 4431467865.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5687641293 and 5687641302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5687641343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11047 + ... + 107225.

It is an arithmetic number, because the mean of its divisors is an integer number (131061280).

Almost surely, 25687641344 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 5687641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436412160).

5687641344 is an abundant number, since it is smaller than the sum of its proper divisors (13185182976).

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

5687641344 is a wasteful number, since it uses less digits than its factorization.

5687641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96216 (or 96202 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 5687641344 is about 75416.4527407647. The cubic root of 5687641344 is about 1785.0240321914.

The spelling of 5687641344 in words is "five billion, six hundred eighty-seven million, six hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 59136 96179 192358 288537 384716 577074 673253 769432 1057969 1154148 1346506 1538864 2019759 2115938 2308296 2693012 3077728 3173907 4039518 4231876 4616592 5386024 6155456 6347814 7405783 8079036 8463752 9233184 10772048 12310912 12695628 14811566 16158072 16927504 18466368 21544096 22217349 24621824 25391256 29623132 32316144 33855008 36932736 43088192 44434698 50782512 59246264 64632288 67710016 73865472 86176384 88869396 101565024 118492528 129264576 135420032 172352768 177738792 203130048 236985056 258529152 270840064 355477584 406260096 473970112 517058304 710955168 812520192 947940224 1421910336 1895880448 2843820672 5687641344