Search a number
-
+
6450355100 = 225273892113
BaseRepresentation
bin1100000000111100…
…01001101110011100
3121122112110222201202
412000132021232130
5101202242330400
62544021255032
7315563054000
oct60036115634
917575428652
106450355100
11281006a292
121300264478
137ba48b287
14452960700
1527b4464d5
hex180789b9c

6450355100 has 144 divisors (see below), whose sum is σ = 16514568000. Its totient is φ = 2185666560.

The previous prime is 6450355081. The next prime is 6450355111. The reversal of 6450355100 is 15530546.

It is a congruent number.

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, 3051644 + ... + 3053756.

It is an arithmetic number, because the mean of its divisors is an integer number (114684500).

Almost surely, 26450355100 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 6450355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257284000).

6450355100 is an abundant number, since it is smaller than the sum of its proper divisors (10064212900).

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

6450355100 is a wasteful number, since it uses less digits than its factorization.

6450355100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 6450355100 is about 80314.1027466534. The cubic root of 6450355100 is about 1861.4921448365.

Adding to 6450355100 its reverse (15530546), we get a palindrome (6465885646).

The spelling of 6450355100 in words is "six billion, four hundred fifty million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 89 98 100 140 175 178 196 245 343 350 356 445 490 623 686 700 890 980 1225 1246 1372 1715 1780 2113 2225 2450 2492 3115 3430 4226 4361 4450 4900 6230 6860 8452 8575 8722 8900 10565 12460 14791 15575 17150 17444 21130 21805 29582 30527 31150 34300 42260 43610 52825 59164 61054 62300 73955 87220 103537 105650 109025 122108 147910 152635 188057 207074 211300 218050 295820 305270 369775 376114 414148 436100 517685 610540 724759 739550 752228 763175 940285 1035370 1316399 1449518 1479100 1526350 1880570 2070740 2588425 2632798 2899036 3052700 3623795 3761140 4701425 5176850 5265596 6581995 7247590 9214793 9402850 10353700 13163990 14495180 18118975 18429586 18805700 26327980 32909975 36237950 36859172 46073965 64503551 65819950 72475900 92147930 129007102 131639900 184295860 230369825 258014204 322517755 460739650 645035510 921479300 1290071020 1612588775 3225177550 6450355100