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4190076016 = 247416713619
BaseRepresentation
bin1111100110111111…
…0111110001110000
3101211000100220201121
43321233313301300
532040124413031
61531435512024
7205556026030
oct37157676160
911730326647
104190076016
111860209145
1298b2b8614
1351a112929
142ba6b18c0
15197cbe011
hexf9bf7c70

4190076016 has 80 divisors (see below), whose sum is σ = 9646882560. Its totient is φ = 1725672960.

The previous prime is 4190075993. The next prime is 4190076017. The reversal of 4190076016 is 6106700914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190076017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300855 + ... + 314473.

It is an arithmetic number, because the mean of its divisors is an integer number (120586032).

Almost surely, 24190076016 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 4190076016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823441280).

4190076016 is an abundant number, since it is smaller than the sum of its proper divisors (5456806544).

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

4190076016 is a wasteful number, since it uses less digits than its factorization.

4190076016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13742 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 4190076016 is about 64730.7965036736. The cubic root of 4190076016 is about 1612.1568787467.

The spelling of 4190076016 in words is "four billion, one hundred ninety million, seventy-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 56 67 82 112 134 164 268 287 328 469 536 574 656 938 1072 1148 1876 2296 2747 3752 4592 5494 7504 10988 13619 19229 21976 27238 38458 43952 54476 76916 95333 108952 153832 190666 217904 307664 381332 558379 762664 912473 1116758 1525328 1824946 2233516 3649892 3908653 4467032 6387311 7299784 7817306 8934064 12774622 14599568 15634612 25549244 31269224 37411393 51098488 62538448 74822786 102196976 149645572 261879751 299291144 523759502 598582288 1047519004 2095038008 4190076016