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135809383041280 = 2851333124657467
BaseRepresentation
bin11110111000010010010110…
…000010001000100100000000
3122210212020202102010001001001
4132320102112002020210000
5120300100104024310110
61200501545210021344
740414622054620264
oct3670222602104400
9583766672101031
10135809383041280
113a300488202253
1213294927717854
135aa1a0152a640
1425772d01100a4
1510a7aa8bec63a
hex7b8496088900

135809383041280 has 144 divisors (see below), whose sum is σ = 351387855935424. Its totient is φ = 49993505464320.

The previous prime is 135809383041203. The next prime is 135809383041301. The reversal of 135809383041280 is 82140383908531.

It is a super-2 number, since 2×1358093830412802 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6820894 + ... + 17836573.

It is an arithmetic number, because the mean of its divisors is an integer number (2440193443996).

Almost surely, 2135809383041280 is an apocalyptic number.

135809383041280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135809383041280 is an abundant number, since it is smaller than the sum of its proper divisors (215578472894144).

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

135809383041280 is a wasteful number, since it uses less digits than its factorization.

135809383041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24657832 (or 24657818 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 135809383041280 in words is "one hundred thirty-five trillion, eight hundred nine billion, three hundred eighty-three million, forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 331 416 520 640 662 832 1040 1280 1324 1655 1664 2080 2648 3310 3328 4160 4303 5296 6620 8320 8606 10592 13240 16640 17212 21184 21515 26480 34424 42368 43030 52960 68848 84736 86060 105920 137696 172120 211840 275392 344240 423680 550784 688480 1101568 1376960 2753920 5507840 24657467 49314934 98629868 123287335 197259736 246574670 320547071 394519472 493149340 641094142 789038944 986298680 1282188284 1578077888 1602735355 1972597360 2564376568 3156155776 3205470710 3945194720 5128753136 6312311552 6410941420 7890389440 8161621577 10257506272 12821882840 15780778880 16323243154 20515012544 25643765680 31561557760 32646486308 40808107885 41030025088 51287531360 65292972616 81616215770 82060050176 102575062720 106101080501 130585945232 163232431540 205150125440 212202161002 261171890464 326464863080 410300250880 424404322004 522343780928 530505402505 652929726160 848808644008 1044687561856 1061010805010 1305859452320 1697617288016 2089375123712 2122021610020 2611718904640 3395234576032 4244043220040 5223437809280 6790469152064 8488086440080 10446875618560 13580938304128 16976172880160 27161876608256 33952345760320 67904691520640 135809383041280