Search a number
-
+
47102670720 = 2733571632389
BaseRepresentation
bin101011110111100010…
…011011011110000000
311111120122222121001000
4223313202123132000
51232431240430340
633345541412000
73255151044420
oct536742333600
9144518877030
1047102670720
1118a81258746
12916670a000
1345987257c1
1423cba12480
15135a331d30
hexaf789b780

47102670720 has 512 divisors, whose sum is σ = 191903616000. Its totient is φ = 10695794688.

The previous prime is 47102670697. The next prime is 47102670739. The reversal of 47102670720 is 2707620174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19715286 + ... + 19717674.

It is an arithmetic number, because the mean of its divisors is an integer number (374811750).

Almost surely, 247102670720 is an apocalyptic number.

47102670720 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 47102670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95951808000).

47102670720 is an abundant number, since it is smaller than the sum of its proper divisors (144800945280).

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

47102670720 is a wasteful number, since it uses less digits than its factorization.

47102670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 47102670720 in words is "forty-seven billion, one hundred two million, six hundred seventy thousand, seven hundred twenty".