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5288611104 = 2532710724517
BaseRepresentation
bin1001110110011100…
…11100110100100000
3111122120110021120100
410323032130310200
541312341023404
62232441142400
7245025311160
oct47316346440
914576407510
105288611104
112274312887
12103718aa00
1366389c8aa
1438254c5a0
1520e465d39
hex13b39cd20

5288611104 has 144 divisors (see below), whose sum is σ = 17349329088. Its totient is φ = 1496848896.

The previous prime is 5288611093. The next prime is 5288611109. The reversal of 5288611104 is 4011168825.

5288611104 is a `hidden beast` number, since 5 + 28 + 8 + 611 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5288611109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203454 + ... + 227970.

It is an arithmetic number, because the mean of its divisors is an integer number (120481452).

Almost surely, 25288611104 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 5288611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674664544).

5288611104 is an abundant number, since it is smaller than the sum of its proper divisors (12060717984).

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

5288611104 is a wasteful number, since it uses less digits than its factorization.

5288611104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24647 (or 24636 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5288611104 is about 72722.8375684008. The cubic root of 5288611104 is about 1742.2636570631.

Adding to 5288611104 its reverse (4011168825), we get a palindrome (9299779929).

The spelling of 5288611104 in words is "five billion, two hundred eighty-eight million, six hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 642 672 749 856 963 1008 1284 1498 1712 1926 2016 2247 2568 2996 3424 3852 4494 5136 5992 6741 7704 8988 10272 11984 13482 15408 17976 23968 24517 26964 30816 35952 49034 53928 71904 73551 98068 107856 147102 171619 196136 215712 220653 294204 343238 392272 441306 514857 588408 686476 784544 882612 1029714 1176816 1372952 1544571 1765224 2059428 2353632 2623319 2745904 3089142 3530448 4118856 5246638 5491808 6178284 7060896 7869957 8237712 10493276 12356568 15739914 16475424 18363233 20986552 23609871 24713136 31479828 36726466 41973104 47219742 49426272 55089699 62959656 73452932 83946208 94439484 110179398 125919312 146905864 165269097 188878968 220358796 251838624 293811728 330538194 377757936 440717592 587623456 661076388 755515872 881435184 1322152776 1762870368 2644305552 5288611104