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20035120416 = 2532367135431
BaseRepresentation
bin10010101010001011…
…111010110100100000
31220201021121120101220
4102222023322310200
5312012442323131
613112022055040
71306326466533
oct225213726440
956637546356
1020035120416
118551337563
123a7187a480
131b73a5344c
14d80c28a1a
157c3da6e96
hex4aa2fad20

20035120416 has 96 divisors (see below), whose sum is σ = 55698306048. Its totient is φ = 6292619520.

The previous prime is 20035120411. The next prime is 20035120433. The reversal of 20035120416 is 61402153002.

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

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

It is not an unprimeable number, because it can be changed into a prime (20035120411) 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, 80221 + ... + 215651.

It is an arithmetic number, because the mean of its divisors is an integer number (580190688).

Almost surely, 220035120416 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 20035120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27849153024).

20035120416 is an abundant number, since it is smaller than the sum of its proper divisors (35663185632).

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

20035120416 is a wasteful number, since it uses less digits than its factorization.

20035120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135534 (or 135526 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 20035120416 its reverse (61402153002), we get a palindrome (81437273418).

The spelling of 20035120416 in words is "twenty billion, thirty-five million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 67 69 92 96 134 138 184 201 268 276 368 402 536 552 736 804 1072 1104 1541 1608 2144 2208 3082 3216 4623 6164 6432 9246 12328 18492 24656 36984 49312 73968 135431 147936 270862 406293 541724 812586 1083448 1625172 2166896 3114913 3250344 4333792 6229826 6500688 9073877 9344739 12459652 13001376 18147754 18689478 24919304 27221631 36295508 37378956 49838608 54443262 72591016 74757912 99677216 108886524 145182032 149515824 208699171 217773048 290364064 299031648 417398342 435546096 626097513 834796684 871092192 1252195026 1669593368 2504390052 3339186736 5008780104 6678373472 10017560208 20035120416