Search a number
-
+
20245168847040 = 2635172233172667
BaseRepresentation
bin1001001101001101100100…
…00110001111100011000000
32122200102022121220100210220
410212212302012033203000
510123144101211101130
6111020300245223040
74156444104601404
oct446466206174300
978612277810726
1020245168847040
1164a5a23029595
12232b796101a80
13b3b15a4b1627
144ddc2b1a1104
1525195399c410
hex1269b218f8c0

20245168847040 has 336 divisors, whose sum is σ = 71250711927552. Its totient is φ = 4860219736064.

The previous prime is 20245168846993. The next prime is 20245168847047. The reversal of 20245168847040 is 4074886154202.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (20245168847047) 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 47 ways as a sum of consecutive naturals, for example, 4794787 + ... + 7967453.

Almost surely, 220245168847040 is an apocalyptic number.

20245168847040 is a gapful number since it is divisible by the number (20) 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 20245168847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35625355963776).

20245168847040 is an abundant number, since it is smaller than the sum of its proper divisors (51005543080512).

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

20245168847040 is a wasteful number, since it uses less digits than its factorization.

20245168847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172744 (or 3172717 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 20245168847040 in words is "twenty trillion, two hundred forty-five billion, one hundred sixty-eight million, eight hundred forty-seven thousand, forty".