Search a number
-
+
4091992443360 = 253356761323063
BaseRepresentation
bin111011100010111101110…
…000011000100111100000
3112111012010222201000112000
4323202331300120213200
51014020400031141420
612411500235204000
7601431246606333
oct73427560304740
915435128630460
104091992443360
11133844a068968
1256107bba6600
13238b4764a683
141020a6aca61a
1571697205690
hex3b8bdc189e0

4091992443360 has 384 divisors, whose sum is σ = 14560078095360. Its totient is φ = 1073111390208.

The previous prime is 4091992443107. The next prime is 4091992443361. The reversal of 4091992443360 is 633442991904.

4091992443360 is a `hidden beast` number, since 4 + 0 + 9 + 199 + 2 + 443 + 3 + 6 + 0 = 666.

4091992443360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4091992443297 and 4091992443306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4091992443361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177415189 + ... + 177438251.

It is an arithmetic number, because the mean of its divisors is an integer number (37916870040).

Almost surely, 24091992443360 is an apocalyptic number.

4091992443360 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 4091992443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280039047680).

4091992443360 is an abundant number, since it is smaller than the sum of its proper divisors (10468085652000).

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

4091992443360 is a wasteful number, since it uses less digits than its factorization.

4091992443360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23767 (or 23753 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 4091992443360 in words is "four trillion, ninety-one billion, nine hundred ninety-two million, four hundred forty-three thousand, three hundred sixty".