Search a number
-
+
16089394176 = 21034193979
BaseRepresentation
bin11101111110000000…
…01010110000000000
31112112022000220120000
432333000022300000
5230422341103201
611220311320000
71106465410512
oct167700126000
945468026500
1016089394176
116907052a89
123150380000
1316954554ab
14ac8ba1bb2
156427a2d86
hex3bf00ac00

16089394176 has 110 divisors (see below), whose sum is σ = 48046324260. Its totient is φ = 5363103744.

The previous prime is 16089394169. The next prime is 16089394177. The reversal of 16089394176 is 67149398061.

16089394176 is a `hidden beast` number, since 1 + 6 + 0 + 89 + 394 + 176 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16089394177) 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 9 ways as a sum of consecutive naturals, for example, 14046 + ... + 179933.

It is an arithmetic number, because the mean of its divisors is an integer number (436784766).

Almost surely, 216089394176 is an apocalyptic number.

16089394176 is a gapful number since it is divisible by the number (16) 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 16089394176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24023162130).

16089394176 is an abundant number, since it is smaller than the sum of its proper divisors (31956930084).

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

16089394176 is an equidigital number, since it uses as much as digits as its factorization.

16089394176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194011 (or 193984 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 16089394176 in words is "sixteen billion, eighty-nine million, three hundred ninety-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 193979 387958 581937 775916 1163874 1551832 1745811 2327748 3103664 3491622 4655496 5237433 6207328 6983244 9310992 10474866 12414656 13966488 15712299 18621984 20949732 24829312 27932976 31424598 37243968 41899464 49658624 55865952 62849196 74487936 83798928 99317248 111731904 125698392 148975872 167597856 198634496 223463808 251396784 297951744 335195712 446927616 502793568 595903488 670391424 893855232 1005587136 1340782848 1787710464 2011174272 2681565696 4022348544 5363131392 8044697088 16089394176