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4486161696 = 253714991319
BaseRepresentation
bin1000010110110010…
…10110010100100000
3102120122111121220220
410023121112110200
533141424133241
62021054003040
7216112513422
oct41331262440
912518447826
104486161696
1119a2359755
12a524a6480
1356656cb63
14307b46812
151b3ca8166
hex10b656520

4486161696 has 96 divisors (see below), whose sum is σ = 11975040000. Its totient is φ = 1470255360.

The previous prime is 4486161653. The next prime is 4486161709. The reversal of 4486161696 is 6961616844.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 3400525 + ... + 3401843.

It is an arithmetic number, because the mean of its divisors is an integer number (124740000).

Almost surely, 24486161696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4486161696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520000).

4486161696 is an abundant number, since it is smaller than the sum of its proper divisors (7488878304).

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

4486161696 is a wasteful number, since it uses less digits than its factorization.

4486161696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 4486161696 is about 66978.8152776682. The cubic root of 4486161696 is about 1649.2695506932.

The spelling of 4486161696 in words is "four billion, four hundred eighty-six million, one hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 499 568 852 998 1136 1319 1497 1704 1996 2272 2638 2994 3408 3957 3992 5276 5988 6816 7914 7984 10552 11976 15828 15968 21104 23952 31656 35429 42208 47904 63312 70858 93649 106287 126624 141716 187298 212574 280947 283432 374596 425148 561894 566864 658181 749192 850296 1123788 1133728 1316362 1498384 1700592 1974543 2247576 2632724 2996768 3401184 3949086 4495152 5265448 7898172 8990304 10530896 15796344 21061792 31592688 46730851 63185376 93461702 140192553 186923404 280385106 373846808 560770212 747693616 1121540424 1495387232 2243080848 4486161696