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6606139680 = 2538572931
BaseRepresentation
bin1100010011100000…
…11011000100100000
3122001101121200000000
412021300123010200
5102012132432210
63011304300000
7322464155310
oct61160330440
918041550000
106606139680
11288aaa2578
121344471600
138138340ba
14469513440
15289e69ac0
hex189c1b120

6606139680 has 864 divisors, whose sum is σ = 28568816640. Its totient is φ = 1410877440.

The previous prime is 6606139643. The next prime is 6606139693. The reversal of 6606139680 is 869316066.

6606139680 is a `hidden beast` number, since 6 + 606 + 1 + 39 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 213101265 + ... + 213101295.

It is an arithmetic number, because the mean of its divisors is an integer number (33065760).

Almost surely, 26606139680 is an apocalyptic number.

6606139680 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 6606139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284408320).

6606139680 is an abundant number, since it is smaller than the sum of its proper divisors (21962676960).

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

6606139680 is an equidigital number, since it uses as much as digits as its factorization.

6606139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6606139680 is about 81278.1623808019. The cubic root of 6606139680 is about 1876.3589252672.

The spelling of 6606139680 in words is "six billion, six hundred six million, one hundred thirty-nine thousand, six hundred eighty".