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20264450016 = 2533125572663
BaseRepresentation
bin10010110111110110…
…101111011111100000
31221022021010201110210
4102313312233133200
5313000144400031
613150453254120
71315112661126
oct226766573740
957267121423
1020264450016
118659832258
123b16634340
131bac409535
14da3483916
157d90a6746
hex4b7daf7e0

20264450016 has 96 divisors (see below), whose sum is σ = 54952224768. Its totient is φ = 6531909120.

The previous prime is 20264449913. The next prime is 20264450023. The reversal of 20264450016 is 61005446202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7608301 + ... + 7610963.

It is an arithmetic number, because the mean of its divisors is an integer number (572419008).

Almost surely, 220264450016 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 20264450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27476112384).

20264450016 is an abundant number, since it is smaller than the sum of its proper divisors (34687774752).

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

20264450016 is a wasteful number, since it uses less digits than its factorization.

20264450016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20264450016 its reverse (61005446202), we get a palindrome (81269896218).

The spelling of 20264450016 in words is "twenty billion, two hundred sixty-four million, four hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2557 2663 2976 5114 5326 7671 7989 10228 10652 15342 15978 20456 21304 30684 31956 40912 42608 61368 63912 79267 81824 82553 85216 122736 127824 158534 165106 237801 245472 247659 255648 317068 330212 475602 495318 634136 660424 951204 990636 1268272 1320848 1902408 1981272 2536544 2641696 3804816 3962544 6809291 7609632 7925088 13618582 20427873 27237164 40855746 54474328 81711492 108948656 163422984 211088021 217897312 326845968 422176042 633264063 653691936 844352084 1266528126 1688704168 2533056252 3377408336 5066112504 6754816672 10132225008 20264450016