Search a number
-
+
47923781640 = 2335732323171
BaseRepresentation
bin101100101000011110…
…101110000000001000
311120200220001100110120
4230220132232000020
51241121442003030
634003232543240
73314411265000
oct545036560010
9146626040416
1047923781640
11193627a8509
1293556b1b20
13469988a657
142468ab5000
1513a7479010
hexb287ae008

47923781640 has 768 divisors, whose sum is σ = 183472128000. Its totient is φ = 9996940800.

The previous prime is 47923781639. The next prime is 47923781701. The reversal of 47923781640 is 4618732974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 674982805 + ... + 674982875.

It is an arithmetic number, because the mean of its divisors is an integer number (238896000).

Almost surely, 247923781640 is an apocalyptic number.

47923781640 is a gapful number since it is divisible by the number (40) 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 47923781640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91736064000).

47923781640 is an abundant number, since it is smaller than the sum of its proper divisors (135548346360).

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

47923781640 is a wasteful number, since it uses less digits than its factorization.

47923781640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 47923781640 in words is "forty-seven billion, nine hundred twenty-three million, seven hundred eighty-one thousand, six hundred forty".