Search a number
-
+
6400134262752 = 253371801839601
BaseRepresentation
bin101110100100010010110…
…1110101010111111100000
3211122211212100202011202120
41131020211232222333200
51314324433332402002
621340103040544240
71230252202425606
oct135104556527740
924584770664676
106400134262752
112048310a383aa
12874480022080
133756b7749c49
14181aa7b41876
15b1737552cbc
hex5d225baafe0

6400134262752 has 48 divisors (see below), whose sum is σ = 17254416028752. Its totient is φ = 2075719219200.

The previous prime is 6400134262741. The next prime is 6400134262783. The reversal of 6400134262752 is 2572624310046.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×64001342627522 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900916249 + ... + 900923352.

It is an arithmetic number, because the mean of its divisors is an integer number (359467000599).

Almost surely, 26400134262752 is an apocalyptic number.

It is an amenable number.

6400134262752 is an abundant number, since it is smaller than the sum of its proper divisors (10854281766000).

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

6400134262752 is a wasteful number, since it uses less digits than its factorization.

6400134262752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801839651 (or 1801839643 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 6400134262752 its reverse (2572624310046), we get a palindrome (8972758572798).

The spelling of 6400134262752 in words is "six trillion, four hundred billion, one hundred thirty-four million, two hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 1801839601 3603679202 5405518803 7207358404 10811037606 14414716808 21622075212 28829433616 43244150424 57658867232 66668065237 86488300848 133336130474 172976601696 200004195711 266672260948 400008391422 533344521896 800016782844 1066689043792 1600033565688 2133378087584 3200067131376 6400134262752