Search a number
-
+
20481302304 = 253410972493
BaseRepresentation
bin10011000100110001…
…111101111100100000
31221212101011221220000
4103010301331330200
5313421203133204
613224201220000
71323355124421
oct230461757440
957771157800
1020481302304
118760185621
123b77191600
131c153142b8
14dc41b1648
157ed13e039
hex4c4c7df20

20481302304 has 120 divisors (see below), whose sum is σ = 60788393820. Its totient is φ = 6764373504.

The previous prime is 20481302291. The next prime is 20481302311. The reversal of 20481302304 is 40320318402.

It can be written as a sum of positive squares in 2 ways, for example, as 19641461904 + 839840400 = 140148^2 + 28980^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 246282 + ... + 318774.

Almost surely, 220481302304 is an apocalyptic number.

20481302304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20481302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30394196910).

20481302304 is an abundant number, since it is smaller than the sum of its proper divisors (40307091516).

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

20481302304 is a wasteful number, since it uses less digits than its factorization.

20481302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72624 (or 72607 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20481302304 in words is "twenty billion, four hundred eighty-one million, three hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 288 324 327 432 436 648 654 864 872 981 1296 1308 1744 1962 2592 2616 2943 3488 3924 5232 5886 7848 8829 10464 11772 15696 17658 23544 31392 35316 47088 70632 72493 94176 141264 144986 217479 282528 289972 434958 579944 652437 869916 1159888 1304874 1739832 1957311 2319776 2609748 3479664 3914622 5219496 5871933 6959328 7829244 7901737 10438992 11743866 15658488 15803474 20877984 23487732 23705211 31316976 31606948 46975464 47410422 62633952 63213896 71115633 93950928 94820844 126427792 142231266 187901856 189641688 213346899 252855584 284462532 379283376 426693798 568925064 640040697 758566752 853387596 1137850128 1280081394 1706775192 2275700256 2560162788 3413550384 5120325576 6827100768 10240651152 20481302304