Search a number
-
+
206242300165500 = 223253217012111959
BaseRepresentation
bin101110111001001110000111…
…000010011111110101111100
31000001020120102111200100100100
4232321032013002133311330
5204013033212320244000
62010350223230001100
761304341314254454
oct5671160702376574
91001216374610310
10206242300165500
115a795960799365
121b16b181046190
138b107473c2971
1438d0275774d64
1518c9c7ed88a00
hexbb938709fd7c

206242300165500 has 144 divisors (see below), whose sum is σ = 650655999040320. Its totient is φ = 54995386320000.

The previous prime is 206242300165487. The next prime is 206242300165519. The reversal of 206242300165500 is 5561003242602.

206242300165500 is a `hidden beast` number, since 2 + 0 + 6 + 242 + 300 + 1 + 65 + 50 + 0 = 666.

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

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, 96598521 + ... + 98710479.

It is an arithmetic number, because the mean of its divisors is an integer number (4518444437780).

Almost surely, 2206242300165500 is an apocalyptic number.

206242300165500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206242300165500 is an abundant number, since it is smaller than the sum of its proper divisors (444413698874820).

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

206242300165500 is a wasteful number, since it uses less digits than its factorization.

206242300165500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133685 (or 2133670 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 206242300165500 in words is "two hundred six trillion, two hundred forty-two billion, three hundred million, one hundred sixty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 21701 43402 65103 86804 108505 130206 195309 217010 260412 325515 390618 434020 542525 651030 781236 976545 1085050 1302060 1627575 1953090 2111959 2170100 2712625 3255150 3906180 4223918 4882725 5425250 6335877 6510300 8137875 8447836 9765450 10559795 10850500 12671754 16275750 19007631 19530900 21119590 24413625 25343508 31679385 32551500 38015262 42239180 48827250 52798975 63358770 76030524 95038155 97654500 105597950 126717540 158396925 190076310 211195900 263994875 316793850 380152620 475190775 527989750 633587700 791984625 950381550 1055979500 1583969250 1900763100 2375953875 3167938500 4751907750 9503815500 45831622259 91663244518 137494866777 183326489036 229158111295 274989733554 412484600331 458316222590 549979467108 687474333885 824969200662 916632445180 1145790556475 1374948667770 1649938401324 2062423001655 2291581112950 2749897335540 3437371669425 4124846003310 4583162225900 5728952782375 6874743338850 8249692006620 10312115008275 11457905564750 13749486677700 17186858347125 20624230016550 22915811129500 34373716694250 41248460033100 51560575041375 68747433388500 103121150082750 206242300165500