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20413116256 = 251356986239
BaseRepresentation
bin10011000000101101…
…110110111101100000
31221200121212202012211
4103000231312331200
5313301224210011
613213323531504
71321566424321
oct230055667540
957617782184
1020413116256
118725743415
123b58389b94
131c0415c320
14db9102448
157e7170b21
hex4c0b76f60

20413116256 has 48 divisors (see below), whose sum is σ = 43356297600. Its totient is φ = 9404771328.

The previous prime is 20413116247. The next prime is 20413116257. The reversal of 20413116256 is 65261131402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413116257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193585 + ... + 279823.

It is an arithmetic number, because the mean of its divisors is an integer number (903256200).

Almost surely, 220413116256 is an apocalyptic number.

20413116256 is a gapful number since it is divisible by the number (26) 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 20413116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21678148800).

20413116256 is an abundant number, since it is smaller than the sum of its proper divisors (22943181344).

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

20413116256 is a wasteful number, since it uses less digits than its factorization.

20413116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86831 (or 86823 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 20413116256 its reverse (65261131402), we get a palindrome (85674247658).

The spelling of 20413116256 in words is "twenty billion, four hundred thirteen million, one hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 569 1138 2276 4552 7397 9104 14794 18208 29588 59176 86239 118352 172478 236704 344956 689912 1121107 1379824 2242214 2759648 4484428 8968856 17937712 35875424 49069991 98139982 196279964 392559928 637909883 785119856 1275819766 1570239712 2551639532 5103279064 10206558128 20413116256