Search a number
-
+
47781139896 = 23347217241127
BaseRepresentation
bin101100011111111110…
…100101010110111000
311120022221122101210000
4230133332211112320
51240323432434041
633541135353000
73311026662600
oct543776452670
9146287571700
1047781139896
111929a231676
129315982760
134676166a59
142453b83c00
151399b9ebb6
hexb1ffa55b8

47781139896 has 720 divisors, whose sum is σ = 170745442560. Its totient is φ = 12436623360.

The previous prime is 47781139891. The next prime is 47781139897. The reversal of 47781139896 is 69893118774.

47781139896 is a `hidden beast` number, since 477 + 81 + 1 + 3 + 9 + 89 + 6 = 666.

It is a super-2 number, since 2×477811398962 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47781139891) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 376229385 + ... + 376229511.

It is an arithmetic number, because the mean of its divisors is an integer number (237146448).

Almost surely, 247781139896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47781139896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85372721280).

47781139896 is an abundant number, since it is smaller than the sum of its proper divisors (122964302664).

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

47781139896 is a wasteful number, since it uses less digits than its factorization.

47781139896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 197 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 47781139896 in words is "forty-seven billion, seven hundred eighty-one million, one hundred thirty-nine thousand, eight hundred ninety-six".