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8341675917640 = 23513291069517457
BaseRepresentation
bin111100101100011001010…
…1000010100000101001000
31002112110022201220101220121
41321120302220110011020
52043132223013331030
625424040224433024
71520444335253632
oct171306250240510
932473281811817
108341675917640
11272675965227a
12b2880a478774
13486802a6c260
1420ba4c7a5a52
15e6ebd30447a
hex79632a14148

8341675917640 has 128 divisors (see below), whose sum is σ = 20929106268000. Its totient is φ = 2971008811008.

The previous prime is 8341675917433. The next prime is 8341675917677. The reversal of 8341675917640 is 467195761438.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 493486580196 + 7848189337444 = 702486^2 + 2801462^2 .

It is a super-2 number, since 2×83416759176402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 15861792 + ... + 16379248.

Almost surely, 28341675917640 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 8341675917640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10464553134000).

8341675917640 is an abundant number, since it is smaller than the sum of its proper divisors (12587430350360).

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

8341675917640 is a wasteful number, since it uses less digits than its factorization.

8341675917640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518579 (or 518575 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 8341675917640 in words is "eight trillion, three hundred forty-one billion, six hundred seventy-five million, nine hundred seventeen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1069 1160 1508 1885 2138 3016 3770 4276 5345 7540 8552 10690 13897 15080 21380 27794 31001 42760 55588 62002 69485 111176 124004 138970 155005 248008 277940 310010 403013 517457 555880 620020 806026 1034914 1240040 1612052 2015065 2069828 2587285 3224104 4030130 4139656 5174570 6726941 8060260 10349140 13453882 15006253 16120520 20698280 26907764 30012506 33634705 53815528 60025012 67269410 75031265 120050024 134538820 150062530 195081289 269077640 300125060 390162578 553161533 600250120 780325156 975406445 1106323066 1560650312 1950812890 2212646132 2765807665 3901625780 4425292264 5531615330 7191099929 7803251560 11063230660 14382199858 16041684457 22126461320 28764399716 32083368914 35955499645 57528799432 64166737828 71910999290 80208422285 128333475656 143821998580 160416844570 208541897941 287643997160 320833689140 417083795882 641667378280 834167591764 1042709489705 1668335183528 2085418979410 4170837958820 8341675917640