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5516688342 = 23111979233239
BaseRepresentation
bin1010010001101000…
…11111101111010110
3112020110121210201110
411020310133233112
542244233011332
62311225435450
7253465035324
oct51064375726
915213553643
105516688342
112381032670
12109b63bb86
1369bc07939
143a495cd14
152244b94cc
hex148d1fbd6

5516688342 has 128 divisors (see below), whose sum is σ = 12939264000. Its totient is φ = 1550465280.

The previous prime is 5516688341. The next prime is 5516688347. The reversal of 5516688342 is 2438866155.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5516688291 and 5516688300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516688341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23082259 + ... + 23082497.

It is an arithmetic number, because the mean of its divisors is an integer number (101088000).

Almost surely, 25516688342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5516688342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469632000).

5516688342 is an abundant number, since it is smaller than the sum of its proper divisors (7422575658).

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

5516688342 is a wasteful number, since it uses less digits than its factorization.

5516688342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586.

The product of its digits is 1382400, while the sum is 48.

The square root of 5516688342 is about 74274.4124312000. The cubic root of 5516688342 is about 1766.9576880412.

The spelling of 5516688342 in words is "five billion, five hundred sixteen million, six hundred eighty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 79 114 158 209 233 237 239 418 466 474 478 627 699 717 869 1254 1398 1434 1501 1738 2563 2607 2629 3002 4427 4503 4541 5126 5214 5258 7689 7887 8854 9006 9082 13281 13623 15378 15774 16511 18407 18881 26562 27246 33022 36814 37762 48697 49533 49951 55221 55687 56643 97394 99066 99902 110442 111374 113286 146091 149853 167061 202477 207691 292182 299706 334122 349733 358739 404954 415382 607431 612557 623073 699466 717478 1049199 1058053 1076217 1214862 1225114 1246146 1837671 2098398 2116106 2152434 3174159 3675342 3847063 3946129 4399273 6348318 7694126 7892258 8798546 11541189 11638583 11838387 13197819 23082378 23277166 23676774 26395638 34915749 48392003 69831498 83586187 96784006 145176009 167172374 250758561 290352018 501517122 919448057 1838896114 2758344171 5516688342