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4906042944 = 2631141531069
BaseRepresentation
bin1001001000110110…
…00100011001000000
3110122220120210201020
410210123010121000
540021421333234
62130453305440
7232401451125
oct44433043100
913586523636
104906042944
112098373750
12b4b035280
136025527ba
1434780474c
151daa97549
hex1246c4640

4906042944 has 224 divisors, whose sum is σ = 14793528960. Its totient is φ = 1421721600.

The previous prime is 4906042943. The next prime is 4906042969. The reversal of 4906042944 is 4492406094.

It is a junction number, because it is equal to n+sod(n) for n = 4906042896 and 4906042905.

It is not an unprimeable number, because it can be changed into a prime (4906042943) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4588842 + ... + 4589910.

It is an arithmetic number, because the mean of its divisors is an integer number (66042540).

Almost surely, 24906042944 is an apocalyptic number.

4906042944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4906042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396764480).

4906042944 is an abundant number, since it is smaller than the sum of its proper divisors (9887486016).

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

4906042944 is a wasteful number, since it uses less digits than its factorization.

4906042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4906042944 is about 70043.1505859067. The cubic root of 4906042944 is about 1699.1971923376.

The spelling of 4906042944 in words is "four billion, nine hundred six million, forty-two thousand, nine hundred forty-four".