Search a number
-
+
4194855016 = 231197503977
BaseRepresentation
bin1111101000001000…
…0110100001101000
3101211100100201021121
43322002012201220
532042340330031
61532130145024
7205644452002
oct37202064150
911740321247
104194855016
111862982730
12990a22174
1351b0c6c41
142bb197372
15198415011
hexfa086868

4194855016 has 64 divisors (see below), whose sum is σ = 8694967680. Its totient is φ = 1881415680.

The previous prime is 4194854987. The next prime is 4194855019. The reversal of 4194855016 is 6105584914.

It is not an unprimeable number, because it can be changed into a prime (4194855019) by changing a digit.

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, 4293120 + ... + 4294096.

It is an arithmetic number, because the mean of its divisors is an integer number (135858870).

Almost surely, 24194855016 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 4194855016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347483840).

4194855016 is an abundant number, since it is smaller than the sum of its proper divisors (4500112664).

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

4194855016 is a wasteful number, since it uses less digits than its factorization.

4194855016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 4194855016 is about 64767.7004069158. The cubic root of 4194855016 is about 1612.7695621778.

The spelling of 4194855016 in words is "four billion, one hundred ninety-four million, eight hundred fifty-five thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 503 776 977 1006 1067 1954 2012 2134 3908 4024 4268 5533 7816 8536 10747 11066 21494 22132 42988 44264 48791 85976 94769 97582 189538 195164 379076 390328 491431 536701 758152 982862 1042459 1073402 1965724 2084918 2146804 3931448 4169836 4293608 5405741 8339672 10811482 21622964 43245928 47668807 95337614 190675228 381350456 524356877 1048713754 2097427508 4194855016