Search a number
-
+
1124038572048 = 24357411397247
BaseRepresentation
bin10000010110110101111…
…010110111100000010000
310222110100011212202100000
4100112311322313200100
5121404012333301143
62220213131330000
7144131503134660
oct20266572674020
93873304782300
101124038572048
113a377a519a67
12161a1a2b0900
1381cc508b1c2
143c591ca41a0
151e38b060bd3
hex105b5eb7810

1124038572048 has 480 divisors, whose sum is σ = 3847233761280. Its totient is φ = 311023825920.

The previous prime is 1124038572029. The next prime is 1124038572061. The reversal of 1124038572048 is 8402758304211.

1124038572048 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 0 + 38 + 572 + 0 + 48 = 666.

It is a super-2 number, since 2×11240385720482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1124038571994 and 1124038572012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155100361 + ... + 155107607.

It is an arithmetic number, because the mean of its divisors is an integer number (8015070336).

Almost surely, 21124038572048 is an apocalyptic number.

1124038572048 is a gapful number since it is divisible by the number (18) 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 1124038572048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923616880640).

1124038572048 is an abundant number, since it is smaller than the sum of its proper divisors (2723195189232).

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

1124038572048 is a wasteful number, since it uses less digits than its factorization.

1124038572048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7457 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1124038572048 in words is "one trillion, one hundred twenty-four billion, thirty-eight million, five hundred seventy-two thousand, forty-eight".