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4041196992 = 2632721311093
BaseRepresentation
bin1111000011011111…
…1100010111000000
3101102122020002002200
43300313330113000
531234021300432
61505000513200
7202100415300
oct36067742700
911378202080
104041196992
111794172128
1294947b800
134c5317031
142a49d9600
15189bb1a7c
hexf0dfc5c0

4041196992 has 252 divisors, whose sum is σ = 13589803656. Its totient is φ = 1144765440.

The previous prime is 4041196981. The next prime is 4041197011. The reversal of 4041196992 is 2996911404.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3696798 + ... + 3697890.

Almost surely, 24041196992 is an apocalyptic number.

4041196992 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 4041196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794901828).

4041196992 is an abundant number, since it is smaller than the sum of its proper divisors (9548606664).

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

4041196992 is a wasteful number, since it uses less digits than its factorization.

4041196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4041196992 is about 63570.4097202464. The cubic root of 4041196992 is about 1592.8321281270.

The spelling of 4041196992 in words is "four billion, forty-one million, one hundred ninety-six thousand, nine hundred ninety-two".