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680523388050 = 2352113891060253
BaseRepresentation
bin10011110011100100101…
…10101101010010010010
32102001112211210222220210
421321302112231102102
542122202441404200
61240343401544550
7100111001233212
oct11716226552222
92361484728823
10680523388050
11242676790890
12aba81aa5156
134c23334599c
1424d1a742242
1512a7e274650
hex9e725ad492

680523388050 has 96 divisors (see below), whose sum is σ = 1845859803840. Its totient is φ = 164551110400.

The previous prime is 680523388049. The next prime is 680523388063. The reversal of 680523388050 is 50883325086.

680523388050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6805233880502 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111724 + ... + 1171976.

It is an arithmetic number, because the mean of its divisors is an integer number (19227706290).

Almost surely, 2680523388050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680523388050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922929901920).

680523388050 is an abundant number, since it is smaller than the sum of its proper divisors (1165336415790).

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

680523388050 is a wasteful number, since it uses less digits than its factorization.

680523388050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060668 (or 1060663 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 680523388050 in words is "six hundred eighty billion, five hundred twenty-three million, three hundred eighty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 389 550 778 825 1167 1650 1945 2334 3890 4279 5835 8558 9725 11670 12837 19450 21395 25674 29175 42790 58350 64185 106975 128370 213950 320925 641850 1060253 2120506 3180759 5301265 6361518 10602530 11662783 15903795 23325566 26506325 31807590 34988349 53012650 58313915 69976698 79518975 116627830 159037950 174941745 291569575 349883490 412438417 583139150 824876834 874708725 1237315251 1749417450 2062192085 2474630502 4124384170 4536822587 6186576255 9073645174 10310960425 12373152510 13610467761 20621920850 22684112935 27220935522 30932881275 45368225870 61865762550 68052338805 113420564675 136104677610 226841129350 340261694025 680523388050