Search a number
-
+
47000640960 = 2633571359779
BaseRepresentation
bin101011110001011101…
…001101110111000000
311111022112222221112000
4223301131031313000
51232224131002320
633331454504000
73252501566520
oct536135156700
9144275887460
1047000640960
1118a29700229
129138505000
134580551170
1423bc253680
1513513cac90
hexaf174ddc0

47000640960 has 448 divisors, whose sum is σ = 204074572800. Its totient is φ = 9916452864.

The previous prime is 47000640913. The next prime is 47000641001. The reversal of 47000640960 is 6904600074.

47000640960 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 0 + 640 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 756351 + ... + 816129.

It is an arithmetic number, because the mean of its divisors is an integer number (455523600).

Almost surely, 247000640960 is an apocalyptic number.

47000640960 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 47000640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102037286400).

47000640960 is an abundant number, since it is smaller than the sum of its proper divisors (157073931840).

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

47000640960 is a wasteful number, since it uses less digits than its factorization.

47000640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59825 (or 59809 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 47000640960 in words is "forty-seven billion, six hundred forty thousand, nine hundred sixty".