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4127806848 = 273111922707
BaseRepresentation
bin1111011000001001…
…0101010110000000
3101122200012022111010
43312002111112000
531423204304343
61521333120520
7204201531204
oct36602252600
911580168433
104127806848
111829048420
12972489140
1350a24cb79
142b2302b04
151925bdd33
hexf6095580

4127806848 has 192 divisors, whose sum is σ = 12628595520. Its totient is φ = 1184578560.

The previous prime is 4127806841. The next prime is 4127806853. The reversal of 4127806848 is 8486087214.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4127806797 and 4127806806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127806841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1523511 + ... + 1526217.

It is an arithmetic number, because the mean of its divisors is an integer number (65773935).

Almost surely, 24127806848 is an apocalyptic number.

4127806848 is a gapful number since it is divisible by the number (48) 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 4127806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314297760).

4127806848 is an abundant number, since it is smaller than the sum of its proper divisors (8500788672).

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

4127806848 is a wasteful number, since it uses less digits than its factorization.

4127806848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 4127806848 is about 64248.0104594687. The cubic root of 4127806848 is about 1604.1308425758.

The spelling of 4127806848 in words is "four billion, one hundred twenty-seven million, eight hundred six thousand, eight hundred forty-eight".