Search a number
-
+
20342130912 = 2533174779373
BaseRepresentation
bin10010111100011111…
…000100100011100000
31221111200022022122000
4102330133010203200
5313130041142122
613202310244000
71320045155055
oct227437044340
957450268560
1020342130912
11869966a044
123b38656600
131bc253716c
14dad90502c
157e0ced0ac
hex4bc7c48e0

20342130912 has 384 divisors, whose sum is σ = 65144217600. Its totient is φ = 6150463488.

The previous prime is 20342130883. The next prime is 20342130917. The reversal of 20342130912 is 21903124302.

It is a happy number.

20342130912 is a `hidden beast` number, since 2 + 0 + 342 + 1 + 309 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20342130917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54536358 + ... + 54536730.

It is an arithmetic number, because the mean of its divisors is an integer number (169646400).

Almost surely, 220342130912 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 20342130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32572108800).

20342130912 is an abundant number, since it is smaller than the sum of its proper divisors (44802086688).

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

20342130912 is a wasteful number, since it uses less digits than its factorization.

20342130912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 20342130912 in words is "twenty billion, three hundred forty-two million, one hundred thirty thousand, nine hundred twelve".