Search a number
-
+
2493376032000 = 28353715723633
BaseRepresentation
bin100100010010001000110…
…010101110110100000000
322211100211122220010100110
4210102020302232310000
5311322413231011000
65145235141351320
7345066116403360
oct44221062566400
98740748803313
102493376032000
1188148684a067
12343296708540
13151180278249
148897407c9a0
1544cd2323850
hex24488caed00

2493376032000 has 576 divisors, whose sum is σ = 9525544164864. Its totient is φ = 566260531200.

The previous prime is 2493376031983. The next prime is 2493376032011. The reversal of 2493376032000 is 2306733942.

It is a self number, because there is not a number n which added to its sum of digits gives 2493376032000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105492184 + ... + 105515816.

It is an arithmetic number, because the mean of its divisors is an integer number (16537403064).

Almost surely, 22493376032000 is an apocalyptic number.

2493376032000 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 2493376032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762772082432).

2493376032000 is an abundant number, since it is smaller than the sum of its proper divisors (7032168132864).

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

2493376032000 is a wasteful number, since it uses less digits than its factorization.

2493376032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23831 (or 23807 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 2493376032000 in words is "two trillion, four hundred ninety-three billion, three hundred seventy-six million, thirty-two thousand".