Search a number
-
+
2063031446400 = 27352647332147
BaseRepresentation
bin11110000001010110010…
…000011010101110000000
321022020001012122002101220
4132001112100122232000
5232300042022241100
64215424335355040
7302022561646641
oct36012620325600
97266035562356
102063031446400
11725a21517451
122939b5082a80
1311c70a066212
1471bcbbb36c8
15389e6936aa0
hex1e05641ab80

2063031446400 has 192 divisors, whose sum is σ = 6805632804480. Its totient is φ = 549289768960.

The previous prime is 2063031446387. The next prime is 2063031446429. The reversal of 2063031446400 is 46441303602.

It is a tau number, because it is divible by the number of its divisors (192).

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, 6045127 + ... + 6377273.

It is an arithmetic number, because the mean of its divisors is an integer number (35446004190).

Almost surely, 22063031446400 is an apocalyptic number.

2063031446400 is a gapful number since it is divisible by the number (20) 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 2063031446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402816402240).

2063031446400 is an abundant number, since it is smaller than the sum of its proper divisors (4742601358080).

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

2063031446400 is a wasteful number, since it uses less digits than its factorization.

2063031446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332821 (or 332804 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 2063031446400 in words is "two trillion, sixty-three billion, thirty-one million, four hundred forty-six thousand, four hundred".