Search a number
-
+
16220753136 = 2432716092017
BaseRepresentation
bin11110001101101010…
…10000110011110000
31112212110012122011200
433012311100303300
5231210003100021
611241323011200
71112652061320
oct170665206360
945773178150
1016220753136
116974212a05
123188369b00
1316b67286a3
14adc3d7280
1564e09e126
hex3c6d50cf0

16220753136 has 60 divisors (see below), whose sum is σ = 51880666032. Its totient is φ = 4634500608.

The previous prime is 16220753089. The next prime is 16220753137. The reversal of 16220753136 is 63135702261.

16220753136 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 2×162207531362 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16220753136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16220753137) 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 11 ways as a sum of consecutive naturals, for example, 8045001 + ... + 8047016.

Almost surely, 216220753136 is an apocalyptic number.

16220753136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16220753136 is an abundant number, since it is smaller than the sum of its proper divisors (35659912896).

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

16220753136 is a wasteful number, since it uses less digits than its factorization.

16220753136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16092038 (or 16092029 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 16220753136 in words is "sixteen billion, two hundred twenty million, seven hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 16092017 32184034 48276051 64368068 96552102 112644119 128736136 144828153 193104204 225288238 257472272 289656306 337932357 386208408 450576476 579312612 675864714 772416816 901152952 1013797071 1158625224 1351729428 1802305904 2027594142 2317250448 2703458856 4055188284 5406917712 8110376568 16220753136