Search a number
-
+
20398498560 = 2832511172557
BaseRepresentation
bin10010111111110110…
…000110001100000000
31221122121101002111200
4102333312012030000
5313234003423220
613212042341200
71321331243166
oct227766061400
957577332450
1020398498560
118718469980
123b534ba800
131c011119bb
14db71b9236
157e5c34890
hex4bfd86300

20398498560 has 648 divisors, whose sum is σ = 81934974576. Its totient is φ = 4645847040.

The previous prime is 20398498559. The next prime is 20398498579. The reversal of 20398498560 is 6589489302.

20398498560 is a `hidden beast` number, since 2 + 0 + 3 + 98 + 498 + 5 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20398498497 and 20398498506.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36621802 + ... + 36622358.

It is an arithmetic number, because the mean of its divisors is an integer number (126442862).

Almost surely, 220398498560 is an apocalyptic number.

20398498560 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 20398498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40967487288).

20398498560 is an abundant number, since it is smaller than the sum of its proper divisors (61536476016).

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

20398498560 is a wasteful number, since it uses less digits than its factorization.

20398498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 20398498560 in words is "twenty billion, three hundred ninety-eight million, four hundred ninety-eight thousand, five hundred sixty".