Search a number
-
+
47811788816 = 24112298591381
BaseRepresentation
bin101100100001110011…
…100000000000010000
311120102002022112012012
4230201303200000100
51240404304220231
633544152322052
73311551333211
oct544163400020
9146362275165
1047811788816
1119305565660
1293240a3328
13467c6081cc
142457c81408
15139c705e2b
hexb21ce0010

47811788816 has 80 divisors (see below), whose sum is σ = 101689771200. Its totient is φ = 21596889600.

The previous prime is 47811788809. The next prime is 47811788891. The reversal of 47811788816 is 61888711874.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34620446 + ... + 34621826.

It is an arithmetic number, because the mean of its divisors is an integer number (1271122140).

Almost surely, 247811788816 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 47811788816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50844885600).

47811788816 is an abundant number, since it is smaller than the sum of its proper divisors (53877982384).

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

47811788816 is a wasteful number, since it uses less digits than its factorization.

47811788816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2482 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 59.

The spelling of 47811788816 in words is "forty-seven billion, eight hundred eleven million, seven hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 458 859 916 1381 1718 1832 2519 2762 3436 3664 5038 5524 6872 9449 10076 11048 13744 15191 18898 20152 22096 30382 37796 40304 60764 75592 121528 151184 196711 243056 316249 393422 632498 786844 1186279 1264996 1573688 2163821 2372558 2529992 3147376 3478739 4327642 4745116 5059984 6957478 8655284 9490232 13049069 13914956 17310568 18980464 26098138 27829912 34621136 52196276 55659824 104392552 208785104 271657891 543315782 1086631564 2173263128 2988236801 4346526256 5976473602 11952947204 23905894408 47811788816