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6680848131720 = 23325719261120391
BaseRepresentation
bin110000100111000000110…
…0101000110011010001000
3212122200102210102020101100
41201032001211012122020
51333424334110203340
622113050025221400
71256450434101060
oct141160145063210
925580383366340
106680848131720
112146371667a34
128ba962631860
13396002a57ba9
141914d77063a0
15b8bb69a7830
hex61381946688

6680848131720 has 576 divisors, whose sum is σ = 26618902352640. Its totient is φ = 1422952012800.

The previous prime is 6680848131719. The next prime is 6680848131731. The reversal of 6680848131720 is 271318480866.

6680848131720 is a `hidden beast` number, since 6 + 68 + 0 + 8 + 481 + 31 + 72 + 0 = 666.

It is a super-2 number, since 2×66808481317202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55432725 + ... + 55553115.

It is an arithmetic number, because the mean of its divisors is an integer number (46213372140).

Almost surely, 26680848131720 is an apocalyptic number.

6680848131720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6680848131720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309451176320).

6680848131720 is an abundant number, since it is smaller than the sum of its proper divisors (19938054220920).

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

6680848131720 is a wasteful number, since it uses less digits than its factorization.

6680848131720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120514 (or 120488 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 6680848131720 in words is "six trillion, six hundred eighty billion, eight hundred forty-eight million, one hundred thirty-one thousand, seven hundred twenty".