Search a number
-
+
455005050006 = 231323116072377
BaseRepresentation
bin1101001111100000110…
…10100001010010010110
31121111110002021102111010
412213300122201102112
524423322243100011
6545005413153050
744605310053203
oct6476032412226
91544402242433
10455005050006
11165a6a541611
127422432b786
1333ba32b7400
141804550acaa
15bc808911a6
hex69f06a1496

455005050006 has 96 divisors (see below), whose sum is σ = 990609205248. Its totient is φ = 139262872320.

The previous prime is 455005049999. The next prime is 455005050061. The reversal of 455005050006 is 600050500554.

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, 191418690 + ... + 191421066.

It is an arithmetic number, because the mean of its divisors is an integer number (10318845888).

Almost surely, 2455005050006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455005050006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495304602624).

455005050006 is an abundant number, since it is smaller than the sum of its proper divisors (535604155242).

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

455005050006 is a wasteful number, since it uses less digits than its factorization.

455005050006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 455005050006 in words is "four hundred fifty-five billion, five million, fifty thousand, six".

Divisors: 1 2 3 6 13 26 39 78 169 311 338 507 607 622 933 1014 1214 1821 1866 2377 3642 4043 4754 7131 7891 8086 12129 14262 15782 23673 24258 30901 47346 52559 61802 92703 102583 105118 157677 185406 188777 205166 307749 315354 377554 401713 566331 615498 739247 803426 1132662 1205139 1442839 1478494 2217741 2410278 2454101 2885678 4328517 4435482 4908202 7362303 8657034 9610211 14724606 18756907 19220422 28830633 31903313 37513814 56270721 57661266 63806626 95709939 112541442 124932743 191419878 243839791 249865486 374798229 448722929 487679582 731519373 749596458 897445858 1346168787 1463038746 2692337574 5833398077 11666796154 17500194231 35000388462 75834175001 151668350002 227502525003 455005050006