[go: up one dir, main page]

Search a number
-
+
5025106944 = 2103311133141
BaseRepresentation
bin1001010111000010…
…10000110000000000
3110222012121212211000
410223201100300000
540242411410234
62150345252000
7235345463364
oct45341206000
913865555730
105025106944
1121495a6250
12b82a94000
1362110c680
143595592a4
151e6265899
hex12b850c00

5025106944 has 704 divisors, whose sum is σ = 18487848960. Its totient is φ = 1327104000.

The previous prime is 5025106939. The next prime is 5025106969. The reversal of 5025106944 is 4496015205.

5025106944 is a `hidden beast` number, since 50 + 2 + 510 + 6 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5025106899 and 5025106908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122563564 + ... + 122563604.

Almost surely, 25025106944 is an apocalyptic number.

5025106944 is a gapful number since it is divisible by the number (54) 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 5025106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243924480).

5025106944 is an abundant number, since it is smaller than the sum of its proper divisors (13462742016).

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

5025106944 is a wasteful number, since it uses less digits than its factorization.

5025106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5025106944 is about 70887.9887145911. The cubic root of 5025106944 is about 1712.8333206938.

The spelling of 5025106944 in words is "five billion, twenty-five million, one hundred six thousand, nine hundred forty-four".