Search a number
-
+
47808697104 = 2432721921372
BaseRepresentation
bin101100100001100111…
…101101001100010000
311120101212111110011100
4230201213231030100
51240403011301404
633544002144400
73311513135400
oct544147551420
9146355443140
1047808697104
1119303843823
129323052100
13467ba94bac
1424576b8800
15139c2e4d39
hexb219ed310

47808697104 has 405 divisors, whose sum is σ = 165473137557. Its totient is φ = 12846242304.

The previous prime is 47808697093. The next prime is 47808697109. The reversal of 47808697104 is 40179680874.

It is a happy number.

The square root of 47808697104 is 218652.

It is a perfect power (a square), and thus also a powerful number.

47808697104 is a `hidden beast` number, since 478 + 0 + 8 + 69 + 7 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28083056400 + 19725640704 = 167580^2 + 140448^2 .

It is not an unprimeable number, because it can be changed into a prime (47808697109) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 348968524 + ... + 348968660.

Almost surely, 247808697104 is an apocalyptic number.

47808697104 is the 218652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47808697104

47808697104 is an abundant number, since it is smaller than the sum of its proper divisors (117664440453).

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

47808697104 is a wasteful number, since it uses less digits than its factorization.

47808697104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 47808697104 in words is "forty-seven billion, eight hundred eight million, six hundred ninety-seven thousand, one hundred four".