Search a number
-
+
5103433504 = 2513731631031
BaseRepresentation
bin1001100000011000…
…00011011100100000
3111011200000021122201
410300030003130200
540422434333004
62202224142544
7240316316611
oct46014033440
914150007581
105103433504
112189834144
12ba5167a54
13634405150
14365b07c08
151ed0886a4
hex130303720

5103433504 has 96 divisors (see below), whose sum is σ = 11046478464. Its totient is φ = 2306672640.

The previous prime is 5103433501. The next prime is 5103433513. The reversal of 5103433504 is 4053343015.

It is not an unprimeable number, because it can be changed into a prime (5103433501) by changing a digit.

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, 4949469 + ... + 4950499.

It is an arithmetic number, because the mean of its divisors is an integer number (115067484).

Almost surely, 25103433504 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 5103433504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523239232).

5103433504 is an abundant number, since it is smaller than the sum of its proper divisors (5943044960).

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

5103433504 is a wasteful number, since it uses less digits than its factorization.

5103433504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 5103433504 is about 71438.3195771009. The cubic root of 5103433504 is about 1721.6868146326.

Adding to 5103433504 its reverse (4053343015), we get a palindrome (9156776519).

The spelling of 5103433504 in words is "five billion, one hundred three million, four hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 163 208 292 326 416 584 652 949 1031 1168 1304 1898 2062 2119 2336 2608 3796 4124 4238 5216 7592 8248 8476 11899 13403 15184 16496 16952 23798 26806 30368 32992 33904 47596 53612 67808 75263 95192 107224 150526 154687 168053 190384 214448 301052 309374 336106 380768 428896 602104 618748 672212 978419 1204208 1237496 1344424 1956838 2184689 2408416 2474992 2688848 3913676 4369378 4949984 5377696 7827352 8738756 12267869 15654704 17477512 24535738 31309408 34955024 49071476 69910048 98142952 159482297 196285904 318964594 392571808 637929188 1275858376 2551716752 5103433504