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1809912808900 = 225272192192
BaseRepresentation
bin11010010101100111001…
…101011100010111000100
320102000200221021000220001
4122111213031130113010
5214123200134341100
63503243520451044
7244522220016400
oct32254715342704
96360627230801
101809912808900
11638641661739
12252934179a84
1310189bb550c1
1463859116100
153212ee41d6a
hex1a56735c5c4

1809912808900 has 81 divisors (see below), whose sum is σ = 4568974779789. Its totient is φ = 620509246560.

The previous prime is 1809912808883. The next prime is 1809912808903. The reversal of 1809912808900 is 98082199081.

The square root of 1809912808900 is 1345330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 651568611204 + 1158344197696 = 807198^2 + 1076264^2 .

It is not an unprimeable number, because it can be changed into a prime (1809912808903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94163491 + ... + 94182709.

Almost surely, 21809912808900 is an apocalyptic number.

1809912808900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1809912808900 is the 1345330-th square number.

It is an amenable number.

1809912808900 is an abundant number, since it is smaller than the sum of its proper divisors (2759061970889).

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

1809912808900 is an frugal number, since it uses more digits than its factorization.

1809912808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38466 (or 19233 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 55.

The spelling of 1809912808900 in words is "one trillion, eight hundred nine billion, nine hundred twelve million, eight hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 19219 38438 76876 96095 134533 192190 269066 384380 480475 538132 672665 941731 960950 1345330 1883462 1921900 2690660 3363325 3766924 4708655 6726650 9417310 13453300 18834620 23543275 47086550 94173100 369369961 738739922 1477479844 1846849805 2585589727 3693699610 5171179454 7387399220 9234249025 10342358908 12927948635 18099128089 18468498050 25855897270 36198256178 36936996100 51711794540 64639743175 72396512356 90495640445 129279486350 180991280890 258558972700 361982561780 452478202225 904956404450 1809912808900