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2118729420 = 2233516324071
BaseRepresentation
bin111111001001001…
…0011111011001100
312110122202121101000
41332102103323030
513314343320140
6550123420300
7103334621463
oct17622237314
95418677330
102118729420
11997a70855
124b1684690
13279c47b62
141615639da
15c6016a30
hex7e493ecc

2118729420 has 96 divisors (see below), whose sum is σ = 6632317440. Its totient is φ = 561504960.

The previous prime is 2118729373. The next prime is 2118729449. The reversal of 2118729420 is 249278112.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75985 + ... + 100055.

It is an arithmetic number, because the mean of its divisors is an integer number (69086640).

Almost surely, 22118729420 is an apocalyptic number.

2118729420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118729420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316158720).

2118729420 is an abundant number, since it is smaller than the sum of its proper divisors (4513588020).

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

2118729420 is a wasteful number, since it uses less digits than its factorization.

2118729420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24252 (or 24244 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2118729420 is about 46029.6580478283. The cubic root of 2118729420 is about 1284.3749669135.

The spelling of 2118729420 in words is "two billion, one hundred eighteen million, seven hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 540 652 815 978 1467 1630 1956 2445 2934 3260 4401 4890 5868 7335 8802 9780 14670 17604 22005 24071 29340 44010 48142 72213 88020 96284 120355 144426 216639 240710 288852 361065 433278 481420 649917 722130 866556 1083195 1299834 1444260 2166390 2599668 3249585 3923573 4332780 6499170 7847146 11770719 12998340 15694292 19617865 23541438 35312157 39235730 47082876 58853595 70624314 78471460 105936471 117707190 141248628 176560785 211872942 235414380 353121570 423745884 529682355 706243140 1059364710 2118729420