Search a number
-
+
7909799040 = 273451121397
BaseRepresentation
bin1110101110111010…
…11111010010000000
3202102020200102110000
413113131133102000
5112144402032130
63344514240000
7400004116413
oct72735372200
922366612400
107909799040
11339996a100
121648b86000
13990950880
14550707b7a
1531462e260
hex1d775f480

7909799040 has 960 divisors, whose sum is σ = 33781781880. Its totient is φ = 1751777280.

The previous prime is 7909799021. The next prime is 7909799077. The reversal of 7909799040 is 409979097.

It can be written as a sum of positive squares in 4 ways, for example, as 4747761216 + 3162037824 = 68904^2 + 56232^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81544272 + ... + 81544368.

Almost surely, 27909799040 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 7909799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890890940).

7909799040 is an abundant number, since it is smaller than the sum of its proper divisors (25871982840).

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

7909799040 is a wasteful number, since it uses less digits than its factorization.

7909799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 7909799040 is about 88937.0509967584. The cubic root of 7909799040 is about 1992.4548242905.

The spelling of 7909799040 in words is "seven billion, nine hundred nine million, seven hundred ninety-nine thousand, forty".