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8002018116 = 22321728772
BaseRepresentation
bin1110111001111010…
…10001101101000100
3202122200012122020100
413130331101231010
5112342004034431
63402011004100
7402204013611
oct73475215504
922580178210
108002018116
113436a26714
121673a39630
139a6a9b881
1455ca71508
1531c7984e6
hex1dcf51b44

8002018116 has 81 divisors (see below), whose sum is σ = 21511685559. Its totient is φ = 2507574528.

The previous prime is 8002018109. The next prime is 8002018121. The reversal of 8002018116 is 6118102008.

The square root of 8002018116 is 89454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3107616516 + 4894401600 = 55746^2 + 69960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8002018116.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9123870 + ... + 9124746.

Almost surely, 28002018116 is an apocalyptic number.

8002018116 is the 89454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8002018116

8002018116 is an abundant number, since it is smaller than the sum of its proper divisors (13509667443).

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

8002018116 is a wasteful number, since it uses less digits than its factorization.

8002018116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The cubic root of 8002018116 is about 2000.1681621937.

The spelling of 8002018116 in words is "eight billion, two million, eighteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 877 1156 1734 1754 2601 2631 3468 3508 5202 5262 7893 10404 10524 14909 15786 29818 31572 44727 59636 89454 134181 178908 253453 268362 506906 536724 760359 769129 1013812 1520718 1538258 2281077 2307387 3041436 3076516 4562154 4614774 6922161 9124308 9229548 13075193 13844322 26150386 27688644 39225579 52300772 78451158 117676737 156902316 222278281 235353474 444556562 470706948 666834843 889113124 1333669686 2000504529 2667339372 4001009058 8002018116