Search a number
-
+
20375141760 = 2737514557
BaseRepresentation
bin10010111110011100…
…111111110110000000
31221120222102110000000
4102332130333312000
5313212014014020
613205450000000
71320625563441
oct227634776600
957528373000
1020375141760
118706266636
123b47716000
131bc93246cc
14db40592c8
157e3b6e090
hex4be73fd80

20375141760 has 256 divisors, whose sum is σ = 73057867200. Its totient is φ = 5432997888.

The previous prime is 20375141741. The next prime is 20375141791. The reversal of 20375141760 is 6714157302.

It is a happy number.

It is a super-3 number, since 3×203751417603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392402 + ... + 1406958.

Almost surely, 220375141760 is an apocalyptic number.

20375141760 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 20375141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36528933600).

20375141760 is an abundant number, since it is smaller than the sum of its proper divisors (52682725440).

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

20375141760 is an frugal number, since it uses more digits than its factorization.

20375141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14597 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 20375141760 in words is "twenty billion, three hundred seventy-five million, one hundred forty-one thousand, seven hundred sixty".