Search a number
-
+
16072744044 = 22371724146703
BaseRepresentation
bin11101111100000001…
…01001110001101100
31112111010200222212110
432332000221301230
5230404110302134
611214514404020
71106204033040
oct167600516154
945433628773
1016072744044
1168a8710545
123146890610
131691b75a46
14ac68aa020
156410b47e9
hex3be029c6c

16072744044 has 96 divisors (see below), whose sum is σ = 45571147776. Its totient is φ = 4304056320.

The previous prime is 16072744031. The next prime is 16072744063. The reversal of 16072744044 is 44044727061.

It is a happy number.

16072744044 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 2×160727440442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16072743993 and 16072744011.

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 31 ways as a sum of consecutive naturals, for example, 320797 + ... + 367499.

It is an arithmetic number, because the mean of its divisors is an integer number (474699456).

Almost surely, 216072744044 is an apocalyptic number.

16072744044 is a gapful number since it is divisible by the number (14) 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 16072744044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785573888).

16072744044 is an abundant number, since it is smaller than the sum of its proper divisors (29498403732).

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

16072744044 is a wasteful number, since it uses less digits than its factorization.

16072744044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46975 (or 46973 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 16072744044 in words is "sixteen billion, seventy-two million, seven hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 241 357 476 482 714 723 964 1428 1446 1687 2892 3374 4097 5061 6748 8194 10122 12291 16388 20244 24582 28679 46703 49164 57358 86037 93406 114716 140109 172074 186812 280218 326921 344148 560436 653842 793951 980763 1307684 1587902 1961526 2381853 3175804 3923052 4763706 5557657 9527412 11115314 11255423 16672971 22230628 22510846 33345942 33766269 45021692 66691884 67532538 78787961 135065076 157575922 191342191 236363883 315151844 382684382 472727766 574026573 765368764 945455532 1148053146 1339395337 2296106292 2678790674 4018186011 5357581348 8036372022 16072744044