Search a number
-
+
16164211270 = 25314361103193
BaseRepresentation
bin11110000110111011…
…00100101001000110
31112201111211000022111
433003131210221012
5231101014230040
611231543051234
71111364346244
oct170335445106
945644730274
1016164211270
116945304199
123171440b1a
1316a7abc76c
14ad4ab9794
15649130dea
hex3c3764a46

16164211270 has 128 divisors (see below), whose sum is σ = 31703113728. Its totient is φ = 5922201600.

The previous prime is 16164211267. The next prime is 16164211289. The reversal of 16164211270 is 7211246161.

16164211270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161642112702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 83752294 + ... + 83752486.

It is an arithmetic number, because the mean of its divisors is an integer number (247680576).

Almost surely, 216164211270 is an apocalyptic number.

16164211270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16164211270 is a deficient number, since it is larger than the sum of its proper divisors (15538902458).

16164211270 is a wasteful number, since it uses less digits than its factorization.

16164211270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 16164211270 in words is "sixteen billion, one hundred sixty-four million, two hundred eleven thousand, two hundred seventy".

Divisors: 1 2 5 10 31 43 61 62 86 103 122 155 193 206 215 305 310 386 430 515 610 965 1030 1333 1891 1930 2623 2666 3193 3782 4429 5246 5983 6283 6386 6665 8299 8858 9455 11773 11966 12566 13115 13330 15965 16598 18910 19879 22145 23546 26230 29915 31415 31930 39758 41495 44290 58865 59830 62830 81313 82990 99395 117730 137299 162626 194773 198790 257269 270169 274598 364963 389546 406565 506239 514538 540338 616249 686495 729926 813130 854797 973865 1012478 1212619 1232498 1286345 1350845 1372990 1709594 1824815 1947730 2425238 2531195 2572690 2701690 3081245 3649630 4273985 5062390 6063095 6162490 8375239 8547970 12126190 15693409 16750478 26498707 31386818 37591189 41876195 52142617 52997414 75182378 78467045 83752390 104285234 132493535 156934090 187955945 260713085 264987070 375911890 521426170 1616421127 3232842254 8082105635 16164211270