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20201084016 = 24329137105929
BaseRepresentation
bin10010110100000101…
…000001010001110000
31221010211220101122220
4102310011001101300
5312332434142031
613140311201040
71313413244451
oct226405012160
957124811586
1020201084016
118626a92463
123ab9376180
131b9c251469
14d98cab128
157d373b596
hex4b4141470

20201084016 has 80 divisors (see below), whose sum is σ = 54380224800. Its totient is φ = 6453981184.

The previous prime is 20201083999. The next prime is 20201084017. The reversal of 20201084016 is 61048010202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201084017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137740 + ... + 243668.

It is an arithmetic number, because the mean of its divisors is an integer number (679752810).

Almost surely, 220201084016 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 20201084016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27190112400).

20201084016 is an abundant number, since it is smaller than the sum of its proper divisors (34179140784).

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

20201084016 is a wasteful number, since it uses less digits than its factorization.

20201084016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106106 (or 106100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 20201084016 its reverse (61048010202), we get a palindrome (81249094218).

The spelling of 20201084016 in words is "twenty billion, two hundred one million, eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 137 174 232 274 348 411 464 548 696 822 1096 1392 1644 2192 3288 3973 6576 7946 11919 15892 23838 31784 47676 63568 95352 105929 190704 211858 317787 423716 635574 847432 1271148 1694864 2542296 3071941 5084592 6143882 9215823 12287764 14512273 18431646 24575528 29024546 36863292 43536819 49151056 58049092 73726584 87073638 116098184 147453168 174147276 232196368 348294552 420855917 696589104 841711834 1262567751 1683423668 2525135502 3366847336 5050271004 6733694672 10100542008 20201084016