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665748768144042 = 2321137363971409159
BaseRepresentation
bin1001011101011111101011011…
…0110101011011101010101010
310020022012221221022202121202200
42113113322312311123222222
51144230111434121102132
610315532432323241030
7260141522046333402
oct22727726665335252
93208187838677680
10665748768144042
11183145515645680
12628026a3519176
1322762abb38cb6b
14ba585ab51d802
1551e79bebaed7c
hex25d7eb6d5baaa

665748768144042 has 96 divisors (see below), whose sum is σ = 1578054499781760. Its totient is φ = 201169592357760.

The previous prime is 665748768144017. The next prime is 665748768144049. The reversal of 665748768144042 is 240441867847566.

665748768144042 is a `hidden beast` number, since 6 + 6 + 5 + 7 + 4 + 87 + 68 + 1 + 440 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (665748768144049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471739459 + ... + 473148617.

It is an arithmetic number, because the mean of its divisors is an integer number (16438067706060).

Almost surely, 2665748768144042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665748768144042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789027249890880).

665748768144042 is an abundant number, since it is smaller than the sum of its proper divisors (912305731637718).

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

665748768144042 is a wasteful number, since it uses less digits than its factorization.

665748768144042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415948 (or 1415945 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 665748768144042 in words is "six hundred sixty-five trillion, seven hundred forty-eight billion, seven hundred sixty-eight million, one hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 373 746 1119 2238 3357 4103 6397 6714 8206 12309 12794 19191 24618 36927 38382 57573 70367 73854 115146 140734 211101 422202 633303 1266606 1409159 2386081 2818318 4227477 4772162 7158243 8454954 12682431 14316486 15500749 21474729 25364862 26246891 31001498 42949458 46502247 52493782 78740673 93004494 139506741 157481346 236222019 279013482 472444038 525616307 1051232614 1576848921 3153697842 4730546763 5781779377 9014390123 9461093526 11563558754 17345338131 18028780246 27043170369 34690676262 52036014393 54086340738 81129511107 99158291353 104072028786 162259022214 198316582706 297474874059 594949748118 892424622177 1784849244354 3362367515879 6724735031758 10087102547637 20174205095274 30261307642911 36986042674669 60522615285822 73972085349338 110958128024007 221916256048014 332874384072021 665748768144042