Search a number
-
+
47103670848 = 26313293371931
BaseRepresentation
bin101011110111100110…
…001111101001000000
311111120201212101221210
4223313212033221000
51232432014431343
633350015050120
73255162411303
oct536746175100
9144521771853
1047103670848
1118a818810a3
129166b10940
1345989b5ab0
1423cbbd2b3a
15135a47d333
hexaf798fa40

47103670848 has 224 divisors, whose sum is σ = 139327493760. Its totient is φ = 13944913920.

The previous prime is 47103670841. The next prime is 47103670883. The reversal of 47103670848 is 84807630174.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 47103670797 and 47103670806.

It is not an unprimeable number, because it can be changed into a prime (47103670841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24392443 + ... + 24394373.

It is an arithmetic number, because the mean of its divisors is an integer number (621997740).

Almost surely, 247103670848 is an apocalyptic number.

47103670848 is a gapful number since it is divisible by the number (48) 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 47103670848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69663746880).

47103670848 is an abundant number, since it is smaller than the sum of its proper divisors (92223822912).

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

47103670848 is a wasteful number, since it uses less digits than its factorization.

47103670848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 47103670848 in words is "forty-seven billion, one hundred three million, six hundred seventy thousand, eight hundred forty-eight".