Search a number
-
+
16070632900 = 22527218112
BaseRepresentation
bin11101111011110001…
…00110010111000100
31112110222201201220221
432331320212113010
5230403040223100
611214401234124
71106150061100
oct167570462704
945428651827
1016070632900
1168a74a93a3
123146032944
1316915b6b4a
14ac64ba900
15640ce901a
hex3bde265c4

16070632900 has 81 divisors (see below), whose sum is σ = 40589281677. Its totient is φ = 5506888800.

The previous prime is 16070632859. The next prime is 16070632969. The reversal of 16070632900 is 923607061.

The square root of 16070632900 is 126770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5785427844 + 10285205056 = 76062^2 + 101416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8872995 + ... + 8874805.

Almost surely, 216070632900 is an apocalyptic number.

16070632900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16070632900 is the 126770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16070632900

16070632900 is an abundant number, since it is smaller than the sum of its proper divisors (24518648777).

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

16070632900 is an equidigital number, since it uses as much as digits as its factorization.

16070632900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 16070632900 in words is "sixteen billion, seventy million, six hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1811 2450 3622 4900 7244 9055 12677 18110 25354 36220 45275 50708 63385 88739 90550 126770 177478 181100 253540 316925 354956 443695 633850 887390 1267700 1774780 2218475 3279721 4436950 6559442 8873900 13118884 16398605 22958047 32797210 45916094 65594420 81993025 91832188 114790235 160706329 163986050 229580470 321412658 327972100 459160940 573951175 642825316 803531645 1147902350 1607063290 2295804700 3214126580 4017658225 8035316450 16070632900