Search a number
-
+
11424992150880 = 2533572114906631
BaseRepresentation
bin1010011001000001011010…
…0110010100010101100000
31111110012220100100212011000
42212100112212110111200
52444141340442312010
640144322520152000
72256266645645100
oct246202646242540
944405810325130
1011424992150880
113705348247160
1213462a6908600
1364b4ab77b049
142b6d88a3b200
1514c2cc2247c0
hexa6416994560

11424992150880 has 576 divisors, whose sum is σ = 50744780674560. Its totient is φ = 2374023859200.

The previous prime is 11424992150843. The next prime is 11424992150893. The reversal of 11424992150880 is 8805129942411.

11424992150880 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 49 + 92 + 1 + 508 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124836 + ... + 4781795.

It is an arithmetic number, because the mean of its divisors is an integer number (88098577560).

Almost surely, 211424992150880 is an apocalyptic number.

11424992150880 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 11424992150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25372390337280).

11424992150880 is an abundant number, since it is smaller than the sum of its proper divisors (39319788523680).

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

11424992150880 is a wasteful number, since it uses less digits than its factorization.

11424992150880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906680 (or 4906659 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11424992150880 in words is "eleven trillion, four hundred twenty-four billion, nine hundred ninety-two million, one hundred fifty thousand, eight hundred eighty".