Search a number
-
+
20374200000 = 2633557311
BaseRepresentation
bin10010111110011001…
…011001111011000000
31221120220122121011000
4102332121121323000
5313211243400000
613205413452000
71320614562000
oct227631317300
957526577130
1020374200000
118705783020
123b47341000
131bc9084b5b
14db3c92000
157e3a35000
hex4be659ec0

20374200000 has 1344 divisors, whose sum is σ = 95243904000. Its totient is φ = 4233600000.

The previous prime is 20374199969. The next prime is 20374200013. The reversal of 20374200000 is 247302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1852199995 + ... + 1852200005.

It is an arithmetic number, because the mean of its divisors is an integer number (70866000).

Almost surely, 220374200000 is an apocalyptic number.

20374200000 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 20374200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621952000).

20374200000 is an abundant number, since it is smaller than the sum of its proper divisors (74869704000).

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

20374200000 is an frugal number, since it uses more digits than its factorization.

20374200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 20374200000 its reverse (247302), we get a palindrome (20374447302).

The spelling of 20374200000 in words is "twenty billion, three hundred seventy-four million, two hundred thousand".