Search a number
-
+
2041232745600 = 273352193140111
BaseRepresentation
bin11101101101000010111…
…100111110010010000000
321020010210000112100112000
4131231002330332102000
5231420421040324400
64201421313504000
7300321436026246
oct35550274762200
97203700470460
102041232745600
11717755740944
1228b730872000
1311a644b349a9
1470b20a72796
153816cd1c600
hex1db42f3e480

2041232745600 has 768 divisors, whose sum is σ = 8117385216000. Its totient is φ = 499032576000.

The previous prime is 2041232745593. The next prime is 2041232745613. The reversal of 2041232745600 is 65472321402.

2041232745600 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 3 + 2 + 7 + 45 + 600 = 666.

It is a super-2 number, since 2×20412327456002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50869545 + ... + 50909655.

It is an arithmetic number, because the mean of its divisors is an integer number (10569512000).

Almost surely, 22041232745600 is an apocalyptic number.

2041232745600 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 2041232745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058692608000).

2041232745600 is an abundant number, since it is smaller than the sum of its proper divisors (6076152470400).

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

2041232745600 is a wasteful number, since it uses less digits than its factorization.

2041232745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40194 (or 40171 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2041232745600 in words is "two trillion, forty-one billion, two hundred thirty-two million, seven hundred forty-five thousand, six hundred".