Search a number
-
+
1049480892000 = 253253239911279
BaseRepresentation
bin11110100010110011110…
…11111000111001100000
310201022220010110011210200
433101121323320321200
5114143314102021000
62122042545425200
7135552054252252
oct17213173707140
93638803404720
101049480892000
1137509a670472
1214b49103b200
1377c72623068
1438b1bc49cd2
151c47576b500
hexf459ef8e60

1049480892000 has 576 divisors, whose sum is σ = 3893510799360. Its totient is φ = 267214464000.

The previous prime is 1049480891993. The next prime is 1049480892041. The reversal of 1049480892000 is 2980849401.

1049480892000 is a `hidden beast` number, since 1 + 0 + 494 + 80 + 89 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10494808920002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 820547361 + ... + 820548639.

It is an arithmetic number, because the mean of its divisors is an integer number (6759567360).

Almost surely, 21049480892000 is an apocalyptic number.

1049480892000 is a gapful number since it is divisible by the number (10) 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 1049480892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946755399680).

1049480892000 is an abundant number, since it is smaller than the sum of its proper divisors (2844029907360).

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

1049480892000 is a wasteful number, since it uses less digits than its factorization.

1049480892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1049480892000 in words is "one trillion, forty-nine billion, four hundred eighty million, eight hundred ninety-two thousand".