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20413332224 = 28735711913
BaseRepresentation
bin10011000000101110…
…101011101100000000
31221200122021201110122
4103000232223230000
5313301303112344
613213332315412
71321601314055
oct230056535400
957618251418
1020413332224
1187258806aa
123b58472b68
131c0420670c
14db915b02c
157e71b4aee
hex4c0babb00

20413332224 has 72 divisors (see below), whose sum is σ = 41399069712. Its totient is φ = 10043965440.

The previous prime is 20413332223. The next prime is 20413332227. The reversal of 20413332224 is 42223331402.

It is a junction number, because it is equal to n+sod(n) for n = 20413332193 and 20413332202.

It is not an unprimeable number, because it can be changed into a prime (20413332223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10669892 + ... + 10671804.

Almost surely, 220413332224 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 20413332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699534856).

20413332224 is an abundant number, since it is smaller than the sum of its proper divisors (20985737488).

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

20413332224 is an equidigital number, since it uses as much as digits as its factorization.

20413332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 20413332224 its reverse (42223331402), we get a palindrome (62636663626).

The spelling of 20413332224 in words is "twenty billion, four hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 571 584 1142 1168 1913 2284 2336 3826 4568 4672 7652 9136 9344 15304 18272 18688 30608 36544 41683 61216 73088 83366 122432 139649 146176 166732 244864 279298 333464 489728 558596 666928 1092323 1117192 1333856 2184646 2234384 2667712 4369292 4468768 5335424 8738584 8937536 10670848 17477168 17875072 34954336 35750144 69908672 79739579 139817344 159479158 279634688 318958316 637916632 1275833264 2551666528 5103333056 10206666112 20413332224