Search a number
-
+
7132941648 = 24347839473
BaseRepresentation
bin1101010010010100…
…00000110101010000
3200102002212222110000
412221022000311100
5104102013113043
63135443410000
7341522001150
oct65112006520
920362788400
107132941648
1130303a56a8
121470983900
13898a11641
144b9484760
152bb3292d3
hex1a9280d50

7132941648 has 200 divisors, whose sum is σ = 23880846528. Its totient is φ = 2013216768.

The previous prime is 7132941623. The next prime is 7132941649. The reversal of 7132941648 is 8461492317.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7132941649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 748240 + ... + 757712.

Almost surely, 27132941648 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 7132941648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940423264).

7132941648 is an abundant number, since it is smaller than the sum of its proper divisors (16747904880).

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

7132941648 is a wasteful number, since it uses less digits than its factorization.

7132941648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9568 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7132941648 is about 84456.7442422451. The cubic root of 7132941648 is about 1924.9652344764.

The spelling of 7132941648 in words is "seven billion, one hundred thirty-two million, nine hundred forty-one thousand, six hundred forty-eight".