Search a number
-
+
7623668052 = 22337111397727
BaseRepresentation
bin1110001100110011…
…11111000101010100
3201200022021110112000
413012121333011110
5111103124334202
63300253355300
7356631052320
oct70631770524
921608243460
107623668052
1132623a8710
121589198b30
1394659a6b0
14524704980
152e945e91c
hex1c667f154

7623668052 has 384 divisors, whose sum is σ = 26848174080. Its totient is φ = 1806520320.

The previous prime is 7623668051. The next prime is 7623668077. The reversal of 7623668052 is 2508663267.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7623667989 and 7623668007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7623668051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10486113 + ... + 10486839.

It is an arithmetic number, because the mean of its divisors is an integer number (69917120).

Almost surely, 27623668052 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 7623668052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424087040).

7623668052 is an abundant number, since it is smaller than the sum of its proper divisors (19224506028).

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

7623668052 is a wasteful number, since it uses less digits than its factorization.

7623668052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7623668052 is about 87313.6189377121. The cubic root of 7623668052 is about 1968.1339792040.

The spelling of 7623668052 in words is "seven billion, six hundred twenty-three million, six hundred sixty-eight thousand, fifty-two".