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4091148000 = 2536532361
BaseRepresentation
bin1111001111011001…
…1111011011100000
3101120010012212000000
43303312133123200
531334313214000
61513543300000
7203245120122
oct36366373340
911503185000
104091148000
11180a38a055
1296214a600
13502786044
142ab4bd212
1518e27c000
hexf3d9f6e0

4091148000 has 672 divisors, whose sum is σ = 15984101952. Its totient is φ = 1026432000.

The previous prime is 4091147999. The next prime is 4091148043. The reversal of 4091148000 is 8411904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 67067970 + ... + 67068030.

It is an arithmetic number, because the mean of its divisors is an integer number (23785866).

Almost surely, 24091148000 is an apocalyptic number.

4091148000 is a gapful number since it is divisible by the number (40) 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 4091148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992050976).

4091148000 is an abundant number, since it is smaller than the sum of its proper divisors (11892953952).

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

4091148000 is an equidigital number, since it uses as much as digits as its factorization.

4091148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4091148000 is about 63962.0825176917. The cubic root of 4091148000 is about 1599.3679795434.

Adding to 4091148000 its reverse (8411904), we get a palindrome (4099559904).

The spelling of 4091148000 in words is "four billion, ninety-one million, one hundred forty-eight thousand".