Search a number
-
+
53748838000 = 24531113238171
BaseRepresentation
bin110010000011101011…
…100010111001110000
312010201211220212120201
4302003223202321300
51340034200304000
640405240044544
73611642404414
oct620353427160
9163654825521
1053748838000
11208818aa580
12a500463754
1350b7632b70
14285c584d44
1515e8a5696a
hexc83ae2e70

53748838000 has 320 divisors, whose sum is σ = 159343801344. Its totient is φ = 17255040000.

The previous prime is 53748837997. The next prime is 53748838027. The reversal of 53748838000 is 83884735.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 63 ways as a sum of consecutive naturals, for example, 6573915 + ... + 6582085.

Almost surely, 253748838000 is an apocalyptic number.

53748838000 is a gapful number since it is divisible by the number (50) 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 53748838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79671900672).

53748838000 is an abundant number, since it is smaller than the sum of its proper divisors (105594963344).

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

53748838000 is a wasteful number, since it uses less digits than its factorization.

53748838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 53748838000 in words is "fifty-three billion, seven hundred forty-eight million, eight hundred thirty-eight thousand".