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4068312192 = 27327736911
BaseRepresentation
bin1111001001111101…
…1000010010000000
3101111112020200011100
43302133120102000
531312441442232
61511410014400
7202550040330
oct36237302200
911445220140
104068312192
1117a850218a
12956577400
134cab1bc29
142a84570c0
1518c26ac7c
hexf27d8480

4068312192 has 192 divisors, whose sum is σ = 13564661760. Its totient is φ = 1146286080.

The previous prime is 4068312169. The next prime is 4068312239. The reversal of 4068312192 is 2912138604.

4068312192 is a `hidden beast` number, since 406 + 8 + 31 + 219 + 2 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585217 + ... + 592127.

It is an arithmetic number, because the mean of its divisors is an integer number (70649280).

Almost surely, 24068312192 is an apocalyptic number.

4068312192 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 4068312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782330880).

4068312192 is an abundant number, since it is smaller than the sum of its proper divisors (9496349568).

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

4068312192 is a wasteful number, since it uses less digits than its factorization.

4068312192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4068312192 is about 63783.3222088659. The cubic root of 4068312192 is about 1596.3866626803.

The spelling of 4068312192 in words is "four billion, sixty-eight million, three hundred twelve thousand, one hundred ninety-two".