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2135378748180 = 2235375318148723
BaseRepresentation
bin11111000100101110011…
…111011110001100010100
321120010210012211210222110
4133010232133132030110
5234441223424420210
64312551321231020
7310163450610006
oct37045637361424
97503705753873
102135378748180
117536776a8047
122a5a26032470
131264998a7c22
14754d244c376
153a82d15e420
hex1f12e7de314

2135378748180 has 96 divisors (see below), whose sum is σ = 6256518516864. Its totient is φ = 543590521344.

The previous prime is 2135378748109. The next prime is 2135378748229. The reversal of 2135378748180 is 818478735312.

It is a self number, because there is not a number n which added to its sum of digits gives 2135378748180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8956702 + ... + 9192021.

It is an arithmetic number, because the mean of its divisors is an integer number (65172067884).

Almost surely, 22135378748180 is an apocalyptic number.

2135378748180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135378748180 is an abundant number, since it is smaller than the sum of its proper divisors (4121139768684).

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

2135378748180 is a wasteful number, since it uses less digits than its factorization.

2135378748180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18148825 (or 18148823 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 2135378748180 in words is "two trillion, one hundred thirty-five billion, three hundred seventy-eight million, seven hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 53 60 74 106 111 148 159 185 212 222 265 318 370 444 530 555 636 740 795 1060 1110 1590 1961 2220 3180 3922 5883 7844 9805 11766 19610 23532 29415 39220 58830 117660 18148723 36297446 54446169 72594892 90743615 108892338 181487230 217784676 272230845 362974460 544461690 671502751 961882319 1088923380 1343005502 1923764638 2014508253 2686011004 2885646957 3357513755 3847529276 4029016506 4809411595 5771293914 6715027510 8058033012 9618823190 10072541265 11542587828 13430055020 14428234785 19237646380 20145082530 28856469570 35589645803 40290165060 57712939140 71179291606 106768937409 142358583212 177948229015 213537874818 355896458030 427075749636 533844687045 711792916060 1067689374090 2135378748180