Search a number
-
+
5510416992 = 253176315351
BaseRepresentation
bin1010010000111001…
…00100101001100000
3112020000211012001020
411020130210221200
542241131320432
62310443205440
7253360525443
oct51034445140
915200735036
105510416992
112378539933
121099516880
1369a820292
143a3ba965a
15223b7b22c
hex148724a60

5510416992 has 96 divisors (see below), whose sum is σ = 15342856704. Its totient is φ = 1725696000.

The previous prime is 5510416979. The next prime is 5510416999. The reversal of 5510416992 is 2996140155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5510416999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027117 + ... + 1032467.

It is an arithmetic number, because the mean of its divisors is an integer number (159821424).

Almost surely, 25510416992 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 5510416992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7671428352).

5510416992 is an abundant number, since it is smaller than the sum of its proper divisors (9832439712).

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

5510416992 is a wasteful number, since it uses less digits than its factorization.

5510416992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 5510416992 is about 74232.1829936315. The cubic root of 5510416992 is about 1766.2878772726.

The spelling of 5510416992 in words is "five billion, five hundred ten million, four hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 631 816 1262 1632 1893 2524 3786 5048 5351 7572 10096 10702 10727 15144 16053 20192 21404 21454 30288 32106 32181 42808 42908 60576 64212 64362 85616 85816 90967 128424 128724 171232 171632 181934 256848 257448 272901 343264 363868 513696 514896 545802 727736 1029792 1091604 1455472 2183208 2910944 3376481 4366416 6752962 8732832 10129443 13505924 20258886 27011848 40517772 54023696 57400177 81035544 108047392 114800354 162071088 172200531 229600708 324142176 344401062 459201416 688802124 918402832 1377604248 1836805664 2755208496 5510416992