Search a number
-
+
10048828665312 = 253523128343793
BaseRepresentation
bin1001001000111010110011…
…0111001110110111100000
31022120122210010222110100000
42102032230313032313200
52304120000114242222
633212211304500000
72055001225221153
oct222165467166740
938518703873300
1010048828665312
113224758899a78
12116364447a600
1357b7a632c3a8
1426a51a071c9a
151265d6a609ac
hex923acdcede0

10048828665312 has 288 divisors, whose sum is σ = 30948015990528. Its totient is φ = 3201404000256.

The previous prime is 10048828665287. The next prime is 10048828665319. The reversal of 10048828665312 is 21356682884001.

10048828665312 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 88 + 28 + 6 + 6 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048828665319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229440088 + ... + 229483880.

It is an arithmetic number, because the mean of its divisors is an integer number (107458388856).

Almost surely, 210048828665312 is an apocalyptic number.

10048828665312 is a gapful number since it is divisible by the number (12) 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 10048828665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474007995264).

10048828665312 is an abundant number, since it is smaller than the sum of its proper divisors (20899187325216).

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

10048828665312 is a wasteful number, since it uses less digits than its factorization.

10048828665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45124 (or 45104 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 10048828665312 in words is "ten trillion, forty-eight billion, eight hundred twenty-eight million, six hundred sixty-five thousand, three hundred twelve".