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21317774112 = 25322315121313
BaseRepresentation
bin10011110110101000…
…110110101100100000
32001000200011010111100
4103312220312230200
5322124322232422
613443201514400
71353163042635
oct236650665440
961020133440
1021317774112
11904a367238
12416b342a00
1320196c6b2b
14106331218c
1584b7bc7ac
hex4f6a36b20

21317774112 has 144 divisors (see below), whose sum is σ = 63680093568. Its totient is φ = 6751641600.

The previous prime is 21317774063. The next prime is 21317774117. The reversal of 21317774112 is 21147771312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21317774117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 989568 + ... + 1010880.

It is an arithmetic number, because the mean of its divisors is an integer number (442222872).

Almost surely, 221317774112 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 21317774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31840046784).

21317774112 is an abundant number, since it is smaller than the sum of its proper divisors (42362319456).

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

21317774112 is a wasteful number, since it uses less digits than its factorization.

21317774112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21503 (or 21492 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The spelling of 21317774112 in words is "twenty-one billion, three hundred seventeen million, seven hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 151 184 207 276 288 302 368 414 453 552 604 736 828 906 1104 1208 1359 1656 1812 2208 2416 2718 3312 3473 3624 4832 5436 6624 6946 7248 10419 10872 13892 14496 20838 21313 21744 27784 31257 41676 42626 43488 55568 62514 63939 83352 85252 111136 125028 127878 166704 170504 191817 250056 255756 333408 341008 383634 490199 500112 511512 682016 767268 980398 1000224 1023024 1470597 1534536 1960796 2046048 2941194 3069072 3218263 3921592 4411791 5882388 6138144 6436526 7843184 8823582 9654789 11764776 12873052 15686368 17647164 19309578 23529552 25746104 28964367 35294328 38619156 47059104 51492208 57928734 70588656 74020049 77238312 102984416 115857468 141177312 148040098 154476624 222060147 231714936 296080196 308953248 444120294 463429872 592160392 666180441 888240588 926859744 1184320784 1332360882 1776481176 2368641568 2664721764 3552962352 5329443528 7105924704 10658887056 21317774112