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688710730248 = 2336108672
BaseRepresentation
bin10100000010110100101…
…10111100001000001000
32102211200102202002000000
422001122112330020020
542240434421331443
61244220033043000
7100520615421432
oct12013226741010
92384612662000
10688710730248
112460982861a2
12b15879b6460
134cc39630878
1425495c55652
1512dace288d3
hexa05a5bc208

688710730248 has 84 divisors (see below), whose sum is σ = 1936291422015. Its totient is φ = 229549117968.

The previous prime is 688710730243. The next prime is 688710730261. The reversal of 688710730248 is 842037017886.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 344355365124 + 344355365124 = 586818^2 + 586818^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=586818.

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

It is a junction number, because it is equal to n+sod(n) for n = 688710730194 and 688710730203.

It is not an unprimeable number, because it can be changed into a prime (688710730243) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 63370911 + ... + 63381777.

Almost surely, 2688710730248 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 688710730248

688710730248 is an abundant number, since it is smaller than the sum of its proper divisors (1247580691767).

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

688710730248 is an frugal number, since it uses more digits than its factorization.

688710730248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21758 (or 10872 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 688710730248 in words is "six hundred eighty-eight billion, seven hundred ten million, seven hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 10867 21734 32601 43468 65202 86936 97803 130404 195606 260808 293409 391212 586818 782424 880227 1173636 1760454 2347272 2640681 3520908 5281362 7041816 7922043 10562724 15844086 21125448 31688172 63376344 118091689 236183378 354275067 472366756 708550134 944733512 1062825201 1417100268 2125650402 2834200536 3188475603 4251300804 6376951206 8502601608 9565426809 12753902412 19130853618 25507804824 28696280427 38261707236 57392560854 76523414472 86088841281 114785121708 172177682562 229570243416 344355365124 688710730248