Search a number
-
+
47483751744 = 26331113192161
BaseRepresentation
bin101100001110010000…
…001000110101000000
311112120020001111221000
4230032100020311000
51234221320023434
633451433332000
73300456142002
oct541620106500
9145506044830
1047483751744
1119157381540
129252267000
134629671a30
142426490372
15137da09b99
hexb0e408d40

47483751744 has 224 divisors, whose sum is σ = 163998737280. Its totient is φ = 13282099200.

The previous prime is 47483751703. The next prime is 47483751793. The reversal of 47483751744 is 44715738474.

It is a happy number.

47483751744 is a `hidden beast` number, since 4 + 7 + 4 + 83 + 7 + 517 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151024 + ... + 343184.

It is an arithmetic number, because the mean of its divisors is an integer number (732137220).

Almost surely, 247483751744 is an apocalyptic number.

47483751744 is a gapful number since it is divisible by the number (44) 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 47483751744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81999368640).

47483751744 is an abundant number, since it is smaller than the sum of its proper divisors (116514985536).

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

47483751744 is a wasteful number, since it uses less digits than its factorization.

47483751744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192206 (or 192190 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 47483751744 in words is "forty-seven billion, four hundred eighty-three million, seven hundred fifty-one thousand, seven hundred forty-four".