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4192806912 = 21137219733
BaseRepresentation
bin1111100111101001…
…0010100000000000
3101211012111122210220
43321322102200000
532041324310122
61532014223040
7205621161600
oct37172224000
911735448726
104192806912
111861803988
129901b4a80
1351a85a948
142babc2c00
1519815d25c
hexf9e92800

4192806912 has 288 divisors, whose sum is σ = 13706128800. Its totient is φ = 1133346816.

The previous prime is 4192806887. The next prime is 4192806941. The reversal of 4192806912 is 2196082914.

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

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 23 ways as a sum of consecutive naturals, for example, 5719698 + ... + 5720430.

It is an arithmetic number, because the mean of its divisors is an integer number (47590725).

Almost surely, 24192806912 is an apocalyptic number.

4192806912 is a gapful number since it is divisible by the number (42) 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 4192806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853064400).

4192806912 is an abundant number, since it is smaller than the sum of its proper divisors (9513321888).

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

4192806912 is a wasteful number, since it uses less digits than its factorization.

4192806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 4192806912 is about 64751.8873238456. The cubic root of 4192806912 is about 1612.5070455554.

The spelling of 4192806912 in words is "four billion, one hundred ninety-two million, eight hundred six thousand, nine hundred twelve".