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20430543540000 = 253541141755009
BaseRepresentation
bin1001010010100110110110…
…10010100100111100100000
32200100010210201002110201210
410221103123102210330200
510134213223121240000
6111241355004230120
74206025625516316
oct451233322447440
980303721073653
1020430543540000
1165675aa229080
12235b6ab83b340
13b527907a5169
14508bb4b160b6
152566a2e72350
hex1294db4a4f20

20430543540000 has 480 divisors, whose sum is σ = 74891894172480. Its totient is φ = 4832051200000.

The previous prime is 20430543539999. The next prime is 20430543540097. The reversal of 20430543540000 is 4534503402.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 20430543540000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26682496 + ... + 27437504.

It is an arithmetic number, because the mean of its divisors is an integer number (156024779526).

Almost surely, 220430543540000 is an apocalyptic number.

20430543540000 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 20430543540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37445947086240).

20430543540000 is an abundant number, since it is smaller than the sum of its proper divisors (54461350632480).

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

20430543540000 is a wasteful number, since it uses less digits than its factorization.

20430543540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755094 (or 755071 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 20430543540000 in words is "twenty trillion, four hundred thirty billion, five hundred forty-three million, five hundred forty thousand".