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2104105133440 = 27518118163891
BaseRepresentation
bin11110100111100110011…
…100000110010110000000
321110011001201000120122001
4132213212130012112000
5233433201403232230
64250340151153344
7305005454352442
oct36474634062600
97404051016561
102104105133440
11741389548452
1229b958675854
131235546b574b
1473ba6bd0492
1539aec8080ca
hex1e9e6706580

2104105133440 has 64 divisors (see below), whose sum is σ = 5057917366320. Its totient is φ = 836992051200.

The previous prime is 2104105133419. The next prime is 2104105133491. The reversal of 2104105133440 is 443315014012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2104105133399 and 2104105133408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8966106 + ... + 9197785.

Almost surely, 22104105133440 is an apocalyptic number.

2104105133440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104105133440 is an abundant number, since it is smaller than the sum of its proper divisors (2953812232880).

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

2104105133440 is a wasteful number, since it uses less digits than its factorization.

2104105133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18164091 (or 18164079 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 2104105133440 in words is "two trillion, one hundred four billion, one hundred five million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 320 362 640 724 905 1448 1810 2896 3620 5792 7240 11584 14480 23168 28960 57920 115840 18163891 36327782 72655564 90819455 145311128 181638910 290622256 363277820 581244512 726555640 1162489024 1453111280 2324978048 2906222560 3287664271 5812445120 6575328542 11624890240 13150657084 16438321355 26301314168 32876642710 52602628336 65753285420 105205256672 131506570840 210410513344 263013141680 420821026688 526026283360 1052052566720 2104105133440