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4199312352 = 253111739161
BaseRepresentation
bin1111101001001100…
…0110101111100000
3101211122202011121010
43322103012233200
532100010443402
61532405500520
7206030365104
oct37223065740
911748664533
104199312352
111865447584
12992411740
1351bcc7a11
142bb9d7904
151989e5a6c
hexfa4c6be0

4199312352 has 48 divisors (see below), whose sum is σ = 11033345232. Its totient is φ = 1398481920.

The previous prime is 4199312347. The next prime is 4199312393. The reversal of 4199312352 is 2532139914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4199312352.

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 7 ways as a sum of consecutive naturals, for example, 87652 + ... + 126812.

It is an arithmetic number, because the mean of its divisors is an integer number (229861359).

Almost surely, 24199312352 is an apocalyptic number.

It is an amenable number.

4199312352 is an abundant number, since it is smaller than the sum of its proper divisors (6834032880).

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

4199312352 is a wasteful number, since it uses less digits than its factorization.

4199312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40291 (or 40283 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 4199312352 is about 64802.1014474068. The cubic root of 4199312352 is about 1613.3405879661.

It can be divided in two parts, 41993 and 12352, that added together give a palindrome (54345).

The spelling of 4199312352 in words is "four billion, one hundred ninety-nine million, three hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1117 2234 3351 4468 6702 8936 13404 17872 26808 35744 39161 53616 78322 107232 117483 156644 234966 313288 469932 626576 939864 1253152 1879728 3759456 43742837 87485674 131228511 174971348 262457022 349942696 524914044 699885392 1049828088 1399770784 2099656176 4199312352