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1361643214764 = 2237217197169411
BaseRepresentation
bin10011110100001000010…
…000101001011110101100
311211011122020221012212110
4103310020100221132230
5134302121130333024
62521310311404020
7200242534233600
oct23641020513654
94734566835773
101361643214764
11485519107888
1219ba8b683610
139b53010b251
1449c92381500
1525645a61629
hex13d084297ac

1361643214764 has 144 divisors (see below), whose sum is σ = 4119257358720. Its totient is φ = 346884733440.

The previous prime is 1361643214759. The next prime is 1361643214777. The reversal of 1361643214764 is 4674123461631.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3394782 + ... + 3774629.

It is an arithmetic number, because the mean of its divisors is an integer number (28605953880).

Almost surely, 21361643214764 is an apocalyptic number.

1361643214764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1361643214764 is an abundant number, since it is smaller than the sum of its proper divisors (2757614143956).

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

1361643214764 is a wasteful number, since it uses less digits than its factorization.

1361643214764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169468 (or 7169459 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 1361643214764 in words is "one trillion, three hundred sixty-one billion, six hundred forty-three million, two hundred fourteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 49 51 57 68 76 84 98 102 114 119 133 147 196 204 228 238 266 294 323 357 399 476 532 588 646 714 798 833 931 969 1292 1428 1596 1666 1862 1938 2261 2499 2793 3332 3724 3876 4522 4998 5586 6783 9044 9996 11172 13566 15827 27132 31654 47481 63308 94962 189924 7169411 14338822 21508233 28677644 43016466 50185877 86032932 100371754 121879987 136218809 150557631 200743508 243759974 272437618 301115262 351301139 365639961 408656427 487519948 544875236 602230524 702602278 731279922 817312854 853159909 953531663 1053903417 1405204556 1462559844 1634625708 1706319818 1907063326 2107806834 2315719753 2559479727 2860594989 3412639636 3814126652 4215613668 4631439506 5118959454 5721189978 5972119363 6674721641 6947159259 9262879012 10237918908 11442379956 11944238726 13349443282 13894318518 16210038271 17916358089 20024164923 23888477452 26698886564 27788637036 32420076542 35832716178 40048329846 48630114813 64840153084 71665432356 80096659692 97260229626 113470267897 194520459252 226940535794 340410803691 453881071588 680821607382 1361643214764