Search a number
-
+
5961725952 = 211371310663
BaseRepresentation
bin1011000110101100…
…01011100000000000
3120101111001001112220
411203112023200000
544202200212302
62423324251040
7300510556140
oct54326134000
916344031486
105961725952
11258a269a46
1211a46a0a80
137401879c0
14407ac8920
1524d5c74bc
hex16358b800

5961725952 has 192 divisors, whose sum is σ = 19563747840. Its totient is φ = 1572175872.

The previous prime is 5961725933. The next prime is 5961725999. The reversal of 5961725952 is 2595271695.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 5961725895 and 5961725904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553773 + ... + 564435.

It is an arithmetic number, because the mean of its divisors is an integer number (101894520).

Almost surely, 25961725952 is an apocalyptic number.

5961725952 is a gapful number since it is divisible by the number (52) 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 5961725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9781873920).

5961725952 is an abundant number, since it is smaller than the sum of its proper divisors (13602021888).

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

5961725952 is a wasteful number, since it uses less digits than its factorization.

5961725952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10708 (or 10688 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 51.

The square root of 5961725952 is about 77212.2137488623. The cubic root of 5961725952 is about 1813.2485389031.

The spelling of 5961725952 in words is "five billion, nine hundred sixty-one million, seven hundred twenty-five thousand, nine hundred fifty-two".