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20418471792 = 2433174336421
BaseRepresentation
bin10011000001000010…
…010010011101110000
31221200222221211122000
4103001002102131300
5313304112044132
613214034414000
71321663101165
oct230102223560
957628854560
1020418471792
118728771084
123b5a131300
131c052b5b94
14db9ad806c
157e787c87c
hex4c1092770

20418471792 has 160 divisors (see below), whose sum is σ = 62209143360. Its totient is φ = 6390005760.

The previous prime is 20418471767. The next prime is 20418471797. The reversal of 20418471792 is 29717481402.

20418471792 is a `hidden beast` number, since 20 + 418 + 47 + 179 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20418471797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3176742 + ... + 3183162.

It is an arithmetic number, because the mean of its divisors is an integer number (388807146).

Almost surely, 220418471792 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 20418471792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104571680).

20418471792 is an abundant number, since it is smaller than the sum of its proper divisors (41790671568).

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

20418471792 is a wasteful number, since it uses less digits than its factorization.

20418471792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 20418471792 in words is "twenty billion, four hundred eighteen million, four hundred seventy-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 433 459 612 816 866 918 1224 1299 1732 1836 2448 2598 3464 3672 3897 5196 6421 6928 7344 7361 7794 10392 11691 12842 14722 15588 19263 20784 22083 23382 25684 29444 31176 38526 44166 46764 51368 57789 58888 62352 66249 77052 88332 93528 102736 109157 115578 117776 132498 154104 173367 176664 187056 198747 218314 231156 264996 308208 327471 346734 353328 397494 436628 462312 529992 654942 693468 794988 873256 924624 982413 1059984 1309884 1386936 1589976 1746512 1964826 2619768 2773872 2780293 2947239 3179952 3929652 5239536 5560586 5894478 7859304 8340879 11121172 11788956 15718608 16681758 22242344 23577912 25022637 33363516 44484688 47155824 47264981 50045274 66727032 75067911 94529962 100090548 133454064 141794943 150135822 189059924 200181096 283589886 300271644 378119848 400362192 425384829 567179772 600543288 756239696 850769658 1134359544 1201086576 1276154487 1701539316 2268719088 2552308974 3403078632 5104617948 6806157264 10209235896 20418471792