Search a number
-
+
16115764100 = 22521314432777
BaseRepresentation
bin11110000001001001…
…10000101110000100
31112121010122122021212
433000210300232010
5231001113422400
611223052430552
71110235506662
oct170044605604
945533578255
1016115764100
11691aa24107
123159178458
13169aa590b7
14acc4a7c32
15644c61335
hex3c0930b84

16115764100 has 72 divisors (see below), whose sum is σ = 35330426208. Its totient is φ = 6380358400.

The previous prime is 16115764081. The next prime is 16115764169. The reversal of 16115764100 is 146751161.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5801912 + ... + 5804688.

It is an arithmetic number, because the mean of its divisors is an integer number (490700364).

Almost surely, 216115764100 is an apocalyptic number.

16115764100 is a gapful number since it is divisible by the number (10) 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 16115764100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665213104).

16115764100 is an abundant number, since it is smaller than the sum of its proper divisors (19214662108).

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

16115764100 is a wasteful number, since it uses less digits than its factorization.

16115764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 16115764100 in words is "sixteen billion, one hundred fifteen million, seven hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 443 524 655 886 1310 1772 2215 2620 2777 3275 4430 5554 6550 8860 11075 11108 13100 13885 22150 27770 44300 55540 58033 69425 116066 138850 232132 277700 290165 363787 580330 727574 1160660 1230211 1450825 1455148 1818935 2460422 2901650 3637870 4920844 5803300 6151055 7275740 9094675 12302110 18189350 24604220 30755275 36378700 61510550 123021100 161157641 322315282 644630564 805788205 1611576410 3223152820 4028941025 8057882050 16115764100