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2161612500 = 2235559977
BaseRepresentation
bin1000000011010111…
…1001011011010100
312120122110021220020
42000311321123110
513411333100000
6554254505140
7104365255155
oct20065713324
95518407806
102161612500
11a0a1a0513
12503b051b0
13285ab0a68
1416712792c
15c9b87ba0
hex80d796d4

2161612500 has 144 divisors (see below), whose sum is σ = 6417714240. Its totient is φ = 566080000.

The previous prime is 2161612489. The next prime is 2161612549. The reversal of 2161612500 is 52161612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2212012 + ... + 2212988.

It is an arithmetic number, because the mean of its divisors is an integer number (44567460).

Almost surely, 22161612500 is an apocalyptic number.

2161612500 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 2161612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208857120).

2161612500 is an abundant number, since it is smaller than the sum of its proper divisors (4256101740).

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

2161612500 is an equidigital number, since it uses as much as digits as its factorization.

2161612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2161612500 is about 46493.1446559598. The cubic root of 2161612500 is about 1292.9824030756.

The spelling of 2161612500 in words is "two billion, one hundred sixty-one million, six hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 125 150 177 236 250 295 300 354 375 500 590 625 708 750 885 977 1180 1250 1475 1500 1770 1875 1954 2500 2931 2950 3125 3540 3750 3908 4425 4885 5862 5900 6250 7375 7500 8850 9375 9770 11724 12500 14655 14750 17700 18750 19540 22125 24425 29310 29500 36875 37500 44250 48850 57643 58620 73275 73750 88500 97700 110625 115286 122125 146550 147500 172929 184375 221250 230572 244250 288215 293100 345858 366375 368750 442500 488500 553125 576430 610625 691716 732750 737500 864645 1106250 1152860 1221250 1441075 1465500 1729290 1831875 2212500 2442500 2882150 3053125 3458580 3663750 4323225 5764300 6106250 7205375 7327500 8646450 9159375 12212500 14410750 17292900 18318750 21616125 28821500 36026875 36637500 43232250 72053750 86464500 108080625 144107500 180134375 216161250 360268750 432322500 540403125 720537500 1080806250 2161612500