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5688747456 = 263731313523
BaseRepresentation
bin1010100110001001…
…10110010111000000
3112200110101022110020
411103010312113000
543122304404311
62340253333440
7260654361360
oct52304662700
915613338406
105688747456
11245a171187
121129197280
136c875b272
143bd74a9a0
15234654c06
hex1531365c0

5688747456 has 112 divisors (see below), whose sum is σ = 17257922304. Its totient is φ = 1620043776.

The previous prime is 5688747397. The next prime is 5688747511. The reversal of 5688747456 is 6547478865.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 5688747456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413911 + ... + 427433.

It is an arithmetic number, because the mean of its divisors is an integer number (154088592).

Almost surely, 25688747456 is an apocalyptic number.

5688747456 is a gapful number since it is divisible by the number (56) 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 5688747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628961152).

5688747456 is an abundant number, since it is smaller than the sum of its proper divisors (11569174848).

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

5688747456 is a wasteful number, since it uses less digits than its factorization.

5688747456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13858 (or 13848 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The square root of 5688747456 is about 75423.7857442863. The cubic root of 5688747456 is about 1785.1397397055.

The spelling of 5688747456 in words is "five billion, six hundred eighty-eight million, seven hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 313 336 448 626 672 939 1252 1344 1878 2191 2504 3756 4382 5008 6573 7512 8764 10016 13146 13523 15024 17528 20032 26292 27046 30048 35056 40569 52584 54092 60096 70112 81138 94661 105168 108184 140224 162276 189322 210336 216368 283983 324552 378644 420672 432736 567966 649104 757288 865472 1135932 1298208 1514576 2271864 2596416 3029152 4232699 4543728 6058304 8465398 9087456 12698097 16930796 18174912 25396194 29628893 33861592 50792388 59257786 67723184 88886679 101584776 118515572 135446368 177773358 203169552 237031144 270892736 355546716 406339104 474062288 711093432 812678208 948124576 1422186864 1896249152 2844373728 5688747456