Search a number
-
+
5468851836 = 2233759122609
BaseRepresentation
bin1010001011111100…
…00000111001111100
3112010010121110101000
411011332000321330
542200011224321
62302400250300
7252344321310
oct50576007174
915103543330
105468851836
11235702a368
121087610990
13692029206
1439c469b40
152201ba826
hex145f80e7c

5468851836 has 96 divisors (see below), whose sum is σ = 16478784000. Its totient is φ = 1536033024.

The previous prime is 5468851783. The next prime is 5468851889. The reversal of 5468851836 is 6381588645.

5468851836 is a `hidden beast` number, since 5 + 46 + 88 + 518 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5468851783) and next prime (5468851889).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16701 + ... + 105908.

It is an arithmetic number, because the mean of its divisors is an integer number (171654000).

Almost surely, 25468851836 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 5468851836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239392000).

5468851836 is an abundant number, since it is smaller than the sum of its proper divisors (11009932164).

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

5468851836 is a wasteful number, since it uses less digits than its factorization.

5468851836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122688 (or 122680 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 5468851836 is about 73951.6858225693. The cubic root of 5468851836 is about 1761.8356188526.

The spelling of 5468851836 in words is "five billion, four hundred sixty-eight million, eight hundred fifty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 708 756 826 1062 1239 1593 1652 2124 2478 3186 3717 4956 6372 7434 11151 14868 22302 44604 122609 245218 367827 490436 735654 858263 1103481 1471308 1716526 2206962 2574789 3310443 3433052 4413924 5149578 6620886 7233931 7724367 10299156 13241772 14467862 15448734 21701793 23173101 28935724 30897468 43403586 46346202 50637517 65105379 86807172 92692404 101275034 130210758 151912551 195316137 202550068 260421516 303825102 390632274 455737653 607650204 781264548 911475306 1367212959 1822950612 2734425918 5468851836