Search a number
-
+
5371712640 = 273457113131
BaseRepresentation
bin1010000000010110…
…11101010010000000
3111212100211021110000
411000023131102000
542000124301030
62245010240000
7250054542540
oct50013352200
914770737400
105371712640
112307212238
12105ab86000
13677b778b8
1438d5c1320
152168cd860
hex1402dd480

5371712640 has 640 divisors, whose sum is σ = 22286689920. Its totient is φ = 1207664640.

The previous prime is 5371712639. The next prime is 5371712681. The reversal of 5371712640 is 462171735.

It is a happy number.

5371712640 is a `hidden beast` number, since 5 + 3 + 7 + 1 + 7 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 5371712595 and 5371712604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41005375 + ... + 41005505.

It is an arithmetic number, because the mean of its divisors is an integer number (34822953).

Almost surely, 25371712640 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 5371712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11143344960).

5371712640 is an abundant number, since it is smaller than the sum of its proper divisors (16914977280).

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

5371712640 is a wasteful number, since it uses less digits than its factorization.

5371712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5371712640 is about 73291.9684549405. The cubic root of 5371712640 is about 1751.3418432361.

The spelling of 5371712640 in words is "five billion, three hundred seventy-one million, seven hundred twelve thousand, six hundred forty".