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3900906016 = 25722776717
BaseRepresentation
bin1110100010000011…
…0001101000100000
3101001212020120001121
43220200301220200
530442112443031
61443025542024
7165445103560
oct35040615040
911055216047
103900906016
111721a61477
1290a4a4914
134a2237417
1429011ada0
1517c6ee011
hexe8831a20

3900906016 has 48 divisors (see below), whose sum is σ = 8815818816. Its totient is φ = 1664430336.

The previous prime is 3900905993. The next prime is 3900906059. The reversal of 3900906016 is 6106090093.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12490 + ... + 89206.

It is an arithmetic number, because the mean of its divisors is an integer number (183662892).

Almost surely, 23900906016 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 3900906016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407909408).

3900906016 is an abundant number, since it is smaller than the sum of its proper divisors (4914912800).

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

3900906016 is a wasteful number, since it uses less digits than its factorization.

3900906016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76961 (or 76953 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 3900906016 is about 62457.2334962092. The cubic root of 3900906016 is about 1574.1827981660.

The spelling of 3900906016 in words is "three billion, nine hundred million, nine hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 227 454 908 1589 1816 3178 3632 6356 7264 12712 25424 50848 76717 153434 306868 537019 613736 1074038 1227472 2148076 2454944 4296152 8592304 17184608 17414759 34829518 69659036 121903313 139318072 243806626 278636144 487613252 557272288 975226504 1950453008 3900906016