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4131673728 = 273731319127
BaseRepresentation
bin1111011001000100…
…0101011010000000
3101122221110202211220
43312101011122000
531430202024403
61521552035040
7204246435000
oct36621053200
911587422756
104131673728
111830249696
12973832a80
1350aca4c70
142b2a2c000
15192ad4953
hexf6445680

4131673728 has 512 divisors, whose sum is σ = 14622720000. Its totient is φ = 1024192512.

The previous prime is 4131673717. The next prime is 4131673739. The reversal of 4131673728 is 8273761314.

It is an interprime number because it is at equal distance from previous prime (4131673717) and next prime (4131673739).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4131673728.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 32532801 + ... + 32532927.

It is an arithmetic number, because the mean of its divisors is an integer number (28560000).

Almost surely, 24131673728 is an apocalyptic number.

4131673728 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 4131673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311360000).

4131673728 is an abundant number, since it is smaller than the sum of its proper divisors (10491046272).

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

4131673728 is a wasteful number, since it uses less digits than its factorization.

4131673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 4131673728 is about 64278.0967982096. The cubic root of 4131673728 is about 1604.6315964263.

The spelling of 4131673728 in words is "four billion, one hundred thirty-one million, six hundred seventy-three thousand, seven hundred twenty-eight".