Search a number
-
+
16191544516 = 22726121492
BaseRepresentation
bin11110001010001011…
…10101110011000100
31112210102020200110221
433011011311303010
5231130013411031
611234400554124
71112145600100
oct170505656304
945712220427
1016191544516
116959783054
12317a622944
1316b066c994
14ad8592900
1564b72ea11
hex3c5175cc4

16191544516 has 81 divisors (see below), whose sum is σ = 33736979367. Its totient is φ = 6779666880.

The previous prime is 16191544513. The next prime is 16191544517. The reversal of 16191544516 is 61544519161.

It is a happy number.

The square root of 16191544516 is 127246.

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

16191544516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12044184516 + 4147360000 = 109746^2 + 64400^2 .

It is a super-2 number, since 2×161915445162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16191544511) 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 26 ways as a sum of consecutive naturals, for example, 108668010 + ... + 108668158.

Almost surely, 216191544516 is an apocalyptic number.

16191544516 is the 127246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16191544516

16191544516 is an abundant number, since it is smaller than the sum of its proper divisors (17545434851).

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

16191544516 is an equidigital number, since it uses as much as digits as its factorization.

16191544516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its digits is 129600, while the sum is 43.

The spelling of 16191544516 in words is "sixteen billion, one hundred ninety-one million, five hundred forty-four thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 61 98 122 149 196 244 298 427 596 854 1043 1708 2086 2989 3721 4172 5978 7301 7442 9089 11956 14602 14884 18178 22201 26047 29204 36356 44402 52094 63623 88804 104188 127246 155407 182329 254492 310814 364658 445361 554429 621628 729316 890722 1087849 1108858 1354261 1781444 2175698 2217716 2708522 3881003 4351396 5417044 7762006 9479827 15524012 18959654 27167021 37919308 54334042 66358789 82609921 108668084 132717578 165219842 265435156 330439684 578269447 1156538894 2313077788 4047886129 8095772258 16191544516