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78008327640 = 23335711017323
BaseRepresentation
bin100100010100110101…
…0001001110111011000
321110100112102122011000
41020221222021313120
52234230112441030
655500405105000
75431055562435
oct1105152116730
9243315378130
1078008327640
11300a0738171
12131509b8160
137482615069
143ac044ab8c
152068703860
hex1229a89dd8

78008327640 has 128 divisors (see below), whose sum is σ = 263690380800. Its totient is φ = 20509211520.

The previous prime is 78008327603. The next prime is 78008327641. The reversal of 78008327640 is 4672380087.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78008327641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431982 + ... + 585341.

It is an arithmetic number, because the mean of its divisors is an integer number (2060081100).

Almost surely, 278008327640 is an apocalyptic number.

It is an amenable number.

78008327640 is an abundant number, since it is smaller than the sum of its proper divisors (185682053160).

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

78008327640 is a wasteful number, since it uses less digits than its factorization.

78008327640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017414 (or 1017404 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 78008327640 in words is "seventy-eight billion, eight million, three hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1917 2130 2556 2840 3195 3834 4260 5112 6390 7668 8520 9585 12780 15336 19170 25560 38340 76680 1017323 2034646 3051969 4069292 5086615 6103938 8138584 9155907 10173230 12207876 15259845 18311814 20346460 24415752 27467721 30519690 36623628 40692920 45779535 54935442 61039380 72229933 73247256 91559070 109870884 122078760 137338605 144459866 183118140 216689799 219741768 274677210 288919732 361149665 366236280 433379598 549354420 577839464 650069397 722299330 866759196 1083448995 1098708840 1300138794 1444598660 1733518392 1950208191 2166897990 2600277588 2889197320 3250346985 3900416382 4333795980 5200555176 6500693970 7800832764 8667591960 9751040955 13001387940 15601665528 19502081910 26002775880 39004163820 78008327640