Search a number
-
+
680587415634 = 23759216328559
BaseRepresentation
bin10011110011101100010…
…10111101000001010010
32102001201022021221020210
421321312022331001102
542122320334300014
61240354010144550
7100112406403440
oct11716612750122
92361638257223
10680587415634
112426a9942745
12aba9b422156
134c2436a2c29
1424d2504bb90
1512a84bc0859
hex9e762bd052

680587415634 has 96 divisors (see below), whose sum is σ = 1592205834240. Its totient is φ = 189978325344.

The previous prime is 680587415633. The next prime is 680587415647. The reversal of 680587415634 is 436514785086.

680587415634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (680587415633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23816647 + ... + 23845205.

It is an arithmetic number, because the mean of its divisors is an integer number (16585477440).

Almost surely, 2680587415634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680587415634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796102917120).

680587415634 is an abundant number, since it is smaller than the sum of its proper divisors (911618418606).

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

680587415634 is a wasteful number, since it uses less digits than its factorization.

680587415634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28852 (or 28793 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 680587415634 in words is "six hundred eighty billion, five hundred eighty-seven million, four hundred fifteen thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 59 118 163 177 326 354 413 489 826 978 1141 1239 2282 2478 3423 3481 6846 6962 9617 10443 19234 20886 24367 28559 28851 48734 57118 57702 67319 73101 85677 134638 146202 171354 199913 201957 399826 403914 567403 599739 1134806 1199478 1684981 1702209 3369962 3404418 3971821 4655117 5054943 7943642 9310234 10109886 11794867 11915463 13965351 23589734 23830926 27930702 32585819 35384601 65171638 70769202 97757457 99413879 195514914 198827758 274651903 298241637 549303806 596483274 695897153 823955709 1391794306 1647911418 1922563321 2087691459 3845126642 4175382918 5767689963 11535379926 16204462277 32408924554 48613386831 97226773662 113431235939 226862471878 340293707817 680587415634