Search a number
-
+
6083376016 = 24172312372
BaseRepresentation
bin1011010101001100…
…01111001110010000
3120200221221112001211
411222212033032100
544424321013031
62443351505504
7303515562064
oct55246171620
916627845054
106083376016
1126419a8493
121219388294
1375c43b9a3
14419d13aa4
15259106bb1
hex16a98f390

6083376016 has 135 divisors (see below), whose sum is σ = 13296686067. Its totient is φ = 2695541760.

The previous prime is 6083375933. The next prime is 6083376029. The reversal of 6083376016 is 6106733806.

The square root of 6083376016 is 77996.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2829814416 + 3253561600 = 53196^2 + 57040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6083376016.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164415550 + ... + 164415586.

Almost surely, 26083376016 is an apocalyptic number.

6083376016 is the 77996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6083376016

6083376016 is an abundant number, since it is smaller than the sum of its proper divisors (7213310051).

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

6083376016 is a wasteful number, since it uses less digits than its factorization.

6083376016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The cubic root of 6083376016 is about 1825.4988081460.

The spelling of 6083376016 in words is "six billion, eighty-three million, three hundred seventy-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 31 34 37 62 68 74 124 136 148 248 272 289 296 496 527 578 592 629 961 1054 1147 1156 1258 1369 1922 2108 2294 2312 2516 2738 3844 4216 4588 4624 5032 5476 7688 8432 8959 9176 10064 10693 10952 15376 16337 17918 18352 19499 21386 21904 23273 32674 35557 35836 38998 42439 42772 46546 65348 71114 71672 77996 84878 85544 93092 130696 142228 143344 155992 169756 171088 186184 261392 277729 284456 311984 331483 339512 372368 395641 555458 568912 604469 662966 679024 721463 791282 1110916 1208938 1315609 1325932 1442926 1582564 2221832 2417876 2631218 2651864 2885852 3165128 4443664 4835752 5262436 5303728 5771704 6330256 9671504 10275973 10524872 11543408 12264871 20551946 21049744 22365353 24529742 41103892 44730706 49059484 82207784 89461412 98118968 164415568 178922824 196237936 357845648 380211001 760422002 1520844004 3041688008 6083376016