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6740542752 = 2531925114723
BaseRepresentation
bin1100100011100010…
…01000010100100000
3122101202112001100120
412101301020110200
5102301034332002
63032505120240
7326015445066
oct62161102440
918352461316
106740542752
112949951599
121381489080
13835631a48
1447d2dc036
15296b67cbc
hex191c48520

6740542752 has 96 divisors (see below), whose sum is σ = 18700657920. Its totient is φ = 2119968000.

The previous prime is 6740542751. The next prime is 6740542759. The reversal of 6740542752 is 2572450476.

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

It is not an unprimeable number, because it can be changed into a prime (6740542751) 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, 450463 + ... + 465185.

It is an arithmetic number, because the mean of its divisors is an integer number (194798520).

Almost surely, 26740542752 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 6740542752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350328960).

6740542752 is an abundant number, since it is smaller than the sum of its proper divisors (11960115168).

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

6740542752 is a wasteful number, since it uses less digits than its factorization.

6740542752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15006 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 6740542752 is about 82100.8084734858. The cubic root of 6740542752 is about 1888.9985411428.

The spelling of 6740542752 in words is "six billion, seven hundred forty million, five hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 251 304 456 502 608 753 912 1004 1506 1824 2008 3012 4016 4769 6024 8032 9538 12048 14307 14723 19076 24096 28614 29446 38152 44169 57228 58892 76304 88338 114456 117784 152608 176676 228912 235568 279737 353352 457824 471136 559474 706704 839211 1118948 1413408 1678422 2237896 3356844 3695473 4475792 6713688 7390946 8951584 11086419 13427376 14781892 22172838 26854752 29563784 44345676 59127568 70213987 88691352 118255136 140427974 177382704 210641961 280855948 354765408 421283922 561711896 842567844 1123423792 1685135688 2246847584 3370271376 6740542752