Search a number
-
+
20465748231744 = 2631967127659317
BaseRepresentation
bin1001010011101000011011…
…01001110100011001000000
32200110111200011221002221210
410221310031221310121000
510140302323021403434
6111305500203050120
74211413214460504
oct451641551643100
980414604832853
1020465748231744
116580525377042
122366495810940
13b55bb12367ca
1450a7944a6304
15257563986ee9
hex129d0da74640

20465748231744 has 224 divisors, whose sum is σ = 58305231339520. Its totient is φ = 6316268378112.

The previous prime is 20465748231727. The next prime is 20465748231749. The reversal of 20465748231744 is 44713284756402.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (20465748231749) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30711174 + ... + 31370490.

Almost surely, 220465748231744 is an apocalyptic number.

20465748231744 is a gapful number since it is divisible by the number (24) 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 20465748231744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29152615669760).

20465748231744 is an abundant number, since it is smaller than the sum of its proper divisors (37839483107776).

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

20465748231744 is a wasteful number, since it uses less digits than its factorization.

20465748231744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659545 (or 659535 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 57.

The spelling of 20465748231744 in words is "twenty trillion, four hundred sixty-five billion, seven hundred forty-eight million, two hundred thirty-one thousand, seven hundred forty-four".