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6706021421700 = 22325289101828917
BaseRepresentation
bin110000110010101111000…
…0001100101001010000100
3212202002102011101212100200
41201211132001211022010
51334332412440443300
622132412000210500
71261331314403046
oct141453601451204
925662364355320
106706021421700
11215600a2a3317
12903809009a30
133984b5156053
14192804abba96
15b968b9aa200
hex6195e065284

6706021421700 has 216 divisors, whose sum is σ = 21466307084040. Its totient is φ = 1750670592000.

The previous prime is 6706021421699. The next prime is 6706021421713. The reversal of 6706021421700 is 71241206076.

6706021421700 is a `hidden beast` number, since 6 + 7 + 0 + 602 + 1 + 42 + 1 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 698120407296 + 6007901014404 = 835536^2 + 2451102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 7675642 + ... + 8504558.

It is an arithmetic number, because the mean of its divisors is an integer number (99381051315).

Almost surely, 26706021421700 is an apocalyptic number.

6706021421700 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 6706021421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733153542020).

6706021421700 is an abundant number, since it is smaller than the sum of its proper divisors (14760285662340).

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

6706021421700 is a wasteful number, since it uses less digits than its factorization.

6706021421700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829127 (or 829117 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 6706021421700 its reverse (71241206076), we get a palindrome (6777262627776).

The spelling of 6706021421700 in words is "six trillion, seven hundred six billion, twenty-one million, four hundred twenty-one thousand, seven hundred".