Search a number
-
+
5181808192 = 26118388681
BaseRepresentation
bin1001101001101110…
…00001111001000000
3111101010111010111221
410310313001321000
541103020330232
62214104044424
7242260433341
oct46467017100
914333433457
105181808192
112219aa5210
121007463714
136477167c2
143722aa0c8
15204dba897
hex134dc1e40

5181808192 has 56 divisors (see below), whose sum is σ = 11352714912. Its totient is φ = 2326963200.

The previous prime is 5181808067. The next prime is 5181808201. The reversal of 5181808192 is 2918081815.

It is a super-2 number, since 2×51818081922 = 53702272277356617728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14092 + ... + 102772.

It is an arithmetic number, because the mean of its divisors is an integer number (202727052).

Almost surely, 25181808192 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 5181808192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676357456).

5181808192 is an abundant number, since it is smaller than the sum of its proper divisors (6170906720).

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

5181808192 is a wasteful number, since it uses less digits than its factorization.

5181808192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88787 (or 88777 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 43.

The square root of 5181808192 is about 71984.7775019136. Note that the first 3 decimals coincide. The cubic root of 5181808192 is about 1730.4555353131.

The spelling of 5181808192 in words is "five billion, one hundred eighty-one million, eight hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 166 176 332 352 664 704 913 1328 1826 2656 3652 5312 7304 14608 29216 58432 88681 177362 354724 709448 975491 1418896 1950982 2837792 3901964 5675584 7360523 7803928 14721046 15607856 29442092 31215712 58884184 62431424 80965753 117768368 161931506 235536736 323863012 471073472 647726024 1295452048 2590904096 5181808192