Search a number
-
+
47011440960 = 2635511175361
BaseRepresentation
bin101011110010000110…
…011010100101000000
311111100022022122100000
4223302012122211000
51232234412102320
633332522200000
73252662440431
oct536206324500
9144308278300
1047011440960
1118a34807450
129140053000
134582862bb3
1423bd865488
151352310c90
hexaf219a940

47011440960 has 1344 divisors, whose sum is σ = 200583661824. Its totient is φ = 10351411200.

The previous prime is 47011440937. The next prime is 47011440991. The reversal of 47011440960 is 6904411074.

It is a super-2 number, since 2×470114409602 (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770679330 + ... + 770679390.

It is an arithmetic number, because the mean of its divisors is an integer number (149243796).

Almost surely, 247011440960 is an apocalyptic number.

47011440960 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 47011440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100291830912).

47011440960 is an abundant number, since it is smaller than the sum of its proper divisors (153572220864).

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

47011440960 is a wasteful number, since it uses less digits than its factorization.

47011440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 47011440960 in words is "forty-seven billion, eleven million, four hundred forty thousand, nine hundred sixty".