Search a number
-
+
20874370176 = 27321121723383
BaseRepresentation
bin10011011100001101…
…011001110010000000
31222212202210212122100
4103130031121302000
5320222314321201
613331202110400
71336200135042
oct233415316200
958782725570
1020874370176
118942046300
12406694b400
131c7889953a
14102048da92
158228d3886
hex4dc359c80

20874370176 has 576 divisors, whose sum is σ = 73139189760. Its totient is φ = 5679759360.

The previous prime is 20874370171. The next prime is 20874370177. The reversal of 20874370176 is 67107347802.

20874370176 is a `hidden beast` number, since 208 + 7 + 4 + 370 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20874370171) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54502081 + ... + 54502463.

It is an arithmetic number, because the mean of its divisors is an integer number (126977760).

Almost surely, 220874370176 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 20874370176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36569594880).

20874370176 is an abundant number, since it is smaller than the sum of its proper divisors (52264819584).

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

20874370176 is a wasteful number, since it uses less digits than its factorization.

20874370176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 20874370176 in words is "twenty billion, eight hundred seventy-four million, three hundred seventy thousand, one hundred seventy-six".