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13605219992 = 23713235315331
BaseRepresentation
bin11001010101110111…
…10010111010011000
31022010011121210012202
430222323302322120
5210330414014432
610130011025332
7661102314260
oct145273627230
938104553182
1013605219992
115851879171
12277843b248
13138a8a7540
14930cb07a0
15549651462
hex32aef2e98

13605219992 has 128 divisors (see below), whose sum is σ = 33382056960. Its totient is φ = 5050805760.

The previous prime is 13605219983. The next prime is 13605219997. The reversal of 13605219992 is 29991250631.

It is a super-2 number, since 2×136052199922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605219997) 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 31 ways as a sum of consecutive naturals, for example, 879767 + ... + 895097.

It is an arithmetic number, because the mean of its divisors is an integer number (260797320).

Almost surely, 213605219992 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 13605219992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16691028480).

13605219992 is an abundant number, since it is smaller than the sum of its proper divisors (19776836968).

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

13605219992 is a wasteful number, since it uses less digits than its factorization.

13605219992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15433 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 47.

The spelling of 13605219992 in words is "thirteen billion, six hundred five million, two hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 53 56 91 92 104 106 161 182 184 212 299 322 364 371 424 598 644 689 728 742 1196 1219 1288 1378 1484 2093 2392 2438 2756 2968 4186 4823 4876 5512 8372 8533 9646 9752 15331 15847 16744 17066 19292 30662 31694 34132 38584 61324 63388 68264 107317 110929 122648 126776 199303 214634 221858 352613 398606 429268 443716 705226 797212 812543 858536 887432 1395121 1410452 1594424 1625086 2468291 2790242 2820904 3250172 4583969 4936582 5580484 5687801 6500344 9167938 9873164 10563059 11160968 11375602 18335876 18688489 19746328 21126118 22751204 32087783 36671752 37376978 42252236 45502408 64175566 73941413 74753956 84504472 128351132 130819423 147882826 149507912 242950357 256702264 261638846 295765652 485900714 523277692 591531304 971801428 1046555384 1700652499 1943602856 3401304998 6802609996 13605219992