Search a number
-
+
14497980672 = 28372992993
BaseRepresentation
bin11011000000010010…
…11010000100000000
31101102101111201122010
431200021122010000
5214142440340142
610354342012520
71022162542140
oct154011320400
941371451563
1014497980672
11616a80650a
122987417140
1314a0837ab6
149b76a4920
1559cbece9c
hex36025a100

14497980672 has 144 divisors (see below), whose sum is σ = 45619136640. Its totient is φ = 3999399936.

The previous prime is 14497980661. The next prime is 14497980719. The reversal of 14497980672 is 27608979441.

It is a happy 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, 109408 + ... + 202400.

It is an arithmetic number, because the mean of its divisors is an integer number (316799560).

Almost surely, 214497980672 is an apocalyptic number.

14497980672 is a gapful number since it is divisible by the number (12) 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 14497980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809568320).

14497980672 is an abundant number, since it is smaller than the sum of its proper divisors (31121155968).

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

14497980672 is an equidigital number, since it uses as much as digits as its factorization.

14497980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93048 (or 93034 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 14497980672 in words is "fourteen billion, four hundred ninety-seven million, nine hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 672 696 768 812 896 928 1218 1344 1392 1624 1792 1856 2436 2688 2784 3248 3712 4872 5376 5568 6496 7424 9744 11136 12992 19488 22272 25984 38976 51968 77952 92993 155904 185986 278979 371972 557958 650951 743944 1115916 1301902 1487888 1952853 2231832 2603804 2696797 2975776 3905706 4463664 5207608 5393594 5951552 7811412 8090391 8927328 10415216 10787188 11903104 15622824 16180782 17854656 18877579 20830432 21574376 23806208 31245648 32361564 35709312 37755158 41660864 43148752 56632737 62491296 64723128 71418624 75510316 83321728 86297504 113265474 124982592 129446256 151020632 166643456 172595008 226530948 249965184 258892512 302041264 345190016 453061896 499930368 517785024 604082528 690380032 906123792 1035570048 1208165056 1812247584 2071140096 2416330112 3624495168 4832660224 7248990336 14497980672