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4166671104 = 2834434673
BaseRepresentation
bin1111100001011010…
…0101101100000000
3101202101022211020000
43320112211230000
532013131433404
61525242120000
7205153056111
oct37026455400
911671284200
104166671104
111848a82742
129834b0000
1351530977b
142b753c208
15195be9339
hexf85a5b00

4166671104 has 180 divisors, whose sum is σ = 12715916136. Its totient is φ = 1356300288.

The previous prime is 4166671039. The next prime is 4166671109. The reversal of 4166671104 is 4011766614.

It is a happy number.

It is a super-2 number, since 2×41666711042 = 34722296177817157632, which contains 22 as substring.

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 (4166671109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 889312 + ... + 893984.

Almost surely, 24166671104 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 4166671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357958068).

4166671104 is an abundant number, since it is smaller than the sum of its proper divisors (8549245032).

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

4166671104 is an equidigital number, since it uses as much as digits as its factorization.

4166671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4166671104 is about 64549.7568082173. The cubic root of 4166671104 is about 1609.1495455689.

The spelling of 4166671104 in words is "four billion, one hundred sixty-six million, six hundred seventy-one thousand, one hundred four".