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6450990546 = 23711134722853
BaseRepresentation
bin1100000001000001…
…00100110111010010
3121122120200021101210
412000200210313102
5101202423144141
62544043040550
7315601341420
oct60040446722
917576607353
106450990546
112810463750
121300510156
137ba651590
14452a88110
1527b51e916
hex180824dd2

6450990546 has 128 divisors (see below), whose sum is σ = 17692286976. Its totient is φ = 1513716480.

The previous prime is 6450990541. The next prime is 6450990551.

6450990546 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6450990541) and next prime (6450990551).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6450990495 and 6450990504.

It is not an unprimeable number, because it can be changed into a prime (6450990541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270856 + ... + 293708.

It is an arithmetic number, because the mean of its divisors is an integer number (138220992).

Almost surely, 26450990546 is an apocalyptic number.

6450990546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6450990546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846143488).

6450990546 is an abundant number, since it is smaller than the sum of its proper divisors (11241296430).

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

6450990546 is a wasteful number, since it uses less digits than its factorization.

6450990546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22936.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 6450990546 is about 80318.0586543275. The cubic root of 6450990546 is about 1861.5532700964.

The spelling of 6450990546 in words is "six billion, four hundred fifty million, nine hundred ninety thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 47 66 77 78 91 94 141 143 154 182 231 273 282 286 329 429 462 517 546 611 658 858 987 1001 1034 1222 1551 1833 1974 2002 3003 3102 3619 3666 4277 6006 6721 7238 8554 10857 12831 13442 20163 21714 22853 25662 40326 45706 47047 68559 94094 137118 141141 159971 251383 282282 297089 319942 479913 502766 594178 754149 891267 959826 1074091 1508298 1759681 1782534 2079623 2148182 3222273 3267979 3519362 4159246 5279043 6238869 6444546 6535958 7518637 9803937 10558086 11815001 12477738 13963183 15037274 19607874 22555911 22875853 23630002 27926366 35445003 41889549 45111822 45751706 68627559 70890006 82705007 83779098 97742281 137255118 153595013 165410014 195484562 248115021 293226843 307190026 460785039 496230042 586453686 921570078 1075165091 2150330182 3225495273 6450990546