Search a number
-
+
20672043169152 = 273891799193677
BaseRepresentation
bin1001011001101000101011…
…10010100011010110000000
32201012020011020020202012010
410230310111302203112000
510202142321022403102
6111544334443332520
74232335333505634
oct454642562432600
981166136222163
1020672043169152
11664aa674a4951
12239a469521140
13b6c4997690cb
1451676460cdc4
1525cad98a2d6c
hex12cd15ca3580

20672043169152 has 256 divisors, whose sum is σ = 55913250240000. Its totient is φ = 6765981843456.

The previous prime is 20672043169117. The next prime is 20672043169177. The reversal of 20672043169152 is 25196134027602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 5621984338 + ... + 5621988014.

It is an arithmetic number, because the mean of its divisors is an integer number (218411133750).

Almost surely, 220672043169152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20672043169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27956625120000).

20672043169152 is an abundant number, since it is smaller than the sum of its proper divisors (35241207070848).

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

20672043169152 is a wasteful number, since it uses less digits than its factorization.

20672043169152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 20672043169152 in words is "twenty trillion, six hundred seventy-two billion, forty-three million, one hundred sixty-nine thousand, one hundred fifty-two".