Search a number
-
+
20517116512 = 2523711991973
BaseRepresentation
bin10011000110111010…
…100101101001100000
31221221212120111202011
4103012322211221200
5314004340212022
613231521002304
71324301420134
oct230672455140
957855514664
1020517116512
118779417342
123b87183394
131c1c873839
14dc8c553c4
15801365977
hex4c6ea5a60

20517116512 has 96 divisors (see below), whose sum is σ = 42979507200. Its totient is φ = 9620835840.

The previous prime is 20517116461. The next prime is 20517116537. The reversal of 20517116512 is 21561171502.

It is a super-2 number, since 2×205171165122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10397958 + ... + 10399930.

It is an arithmetic number, because the mean of its divisors is an integer number (447703200).

Almost surely, 220517116512 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 20517116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21489753600).

20517116512 is an abundant number, since it is smaller than the sum of its proper divisors (22462390688).

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

20517116512 is a wasteful number, since it uses less digits than its factorization.

20517116512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 31.

The spelling of 20517116512 in words is "twenty billion, five hundred seventeen million, one hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 199 284 368 398 568 736 796 1136 1592 1633 1973 2272 3184 3266 3946 4577 6368 6532 7892 9154 13064 14129 15784 18308 26128 28258 31568 36616 45379 52256 56516 63136 73232 90758 113032 140083 146464 181516 226064 280166 324967 363032 392627 452128 560332 649934 726064 785254 1120664 1299868 1452128 1570508 2241328 2599736 3141016 3221909 4482656 5199472 6282032 6443818 9030421 10398944 12564064 12887636 18060842 25775272 27876517 36121684 51550544 55753034 72243368 103101088 111506068 144486736 223012136 288973472 446024272 641159891 892048544 1282319782 2564639564 5129279128 10258558256 20517116512