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1670408712 = 23327171931331
BaseRepresentation
bin110001110010000…
…0110101000001000
311022102011112222100
41203210012220020
511410111034322
6433430353400
756252145150
oct14344065010
94272145870
101670408712
117879a1875
123a74bb860
132080b862b
1411bbc1760
159b9aadac
hex63906a08

1670408712 has 384 divisors, whose sum is σ = 5966438400. Its totient is φ = 410572800.

The previous prime is 1670408699. The next prime is 1670408713. The reversal of 1670408712 is 2178040761.

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

It is not an unprimeable number, because it can be changed into a prime (1670408713) 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 95 ways as a sum of consecutive naturals, for example, 5046387 + ... + 5046717.

It is an arithmetic number, because the mean of its divisors is an integer number (15537600).

Almost surely, 21670408712 is an apocalyptic number.

1670408712 is a gapful number since it is divisible by the number (12) 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 1670408712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983219200).

1670408712 is an abundant number, since it is smaller than the sum of its proper divisors (4296029688).

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

1670408712 is a wasteful number, since it uses less digits than its factorization.

1670408712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1670408712 is about 40870.6338585542. The cubic root of 1670408712 is about 1186.5177752988.

The spelling of 1670408712 in words is "one billion, six hundred seventy million, four hundred eight thousand, seven hundred twelve".