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55357350177920 = 275783148874113
BaseRepresentation
bin11001001011000111000110…
…01100010110110010000000
321021000002222220200022111212
430211203203030112302000
524223433323121143140
6313422452100225252
714442302512525550
oct1445434314266200
9237002886608455
1055357350177920
1116702a140153aa
12626076069b228
1324b72390a795b
14d9544aa95160
1565ee89820765
hex3258e3316c80

55357350177920 has 128 divisors (see below), whose sum is σ = 153066409050240. Its totient is φ = 18750992154624.

The previous prime is 55357350177847. The next prime is 55357350177977. The reversal of 55357350177920 is 2977105375355.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 55357350177920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74065217 + ... + 74808896.

It is an arithmetic number, because the mean of its divisors is an integer number (1195831320705).

Almost surely, 255357350177920 is an apocalyptic number.

It is an amenable number.

55357350177920 is an abundant number, since it is smaller than the sum of its proper divisors (97709058872320).

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

55357350177920 is a wasteful number, since it uses less digits than its factorization.

55357350177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148874222 (or 148874210 counting only the distinct ones).

The product of its (nonzero) digits is 34728750, while the sum is 59.

The spelling of 55357350177920 in words is "fifty-five trillion, three hundred fifty-seven billion, three hundred fifty million, one hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 128 140 160 166 224 280 320 332 415 448 560 581 640 664 830 896 1120 1162 1328 1660 2240 2324 2656 2905 3320 4480 4648 5312 5810 6640 9296 10624 11620 13280 18592 23240 26560 37184 46480 53120 74368 92960 185920 371840 148874113 297748226 595496452 744370565 1042118791 1190992904 1488741130 2084237582 2381985808 2977482260 4168475164 4763971616 5210593955 5954964520 8336950328 9527943232 10421187910 11909929040 12356551379 16673900656 19055886464 20842375820 23819858080 24713102758 33347801312 41684751640 47639716160 49426205516 61782756895 66695602624 83369503280 86495859653 95279432320 98852411032 123565513790 133391205248 166739006560 172991719306 197704822064 247131027580 333478013120 345983438612 395409644128 432479298265 494262055160 666956026240 691966877224 790819288256 864958596530 988524110320 1383933754448 1581638576512 1729917193060 1977048220640 2767867508896 3459834386120 3954096441280 5535735017792 6919668772240 7908192882560 11071470035584 13839337544480 27678675088960 55357350177920