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206918494148400 = 243521408712240511
BaseRepresentation
bin101111000011000011110111…
…010101110101011100110000
31000010122012210121221202220020
4233003003313111311130300
5204110123034000222100
62012025013253443440
761404240115264356
oct5703036725653460
91003565717852806
10206918494148400
115aa26705657a61
121b25a235040580
138b5c43a7c1b48
143914ca10d77d6
1518dc658ebb5a0
hexbc30f7575730

206918494148400 has 120 divisors (see below), whose sum is σ = 662876016267264. Its totient is φ = 55174343635200.

The previous prime is 206918494148339. The next prime is 206918494148411. The reversal of 206918494148400 is 4841494819602.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10784145 + ... + 23024655.

Almost surely, 2206918494148400 is an apocalyptic number.

206918494148400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206918494148400 is an abundant number, since it is smaller than the sum of its proper divisors (455957522118864).

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

206918494148400 is a wasteful number, since it uses less digits than its factorization.

206918494148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254619 (or 12254608 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 206918494148400 in words is "two hundred six trillion, nine hundred eighteen billion, four hundred ninety-four million, one hundred forty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 14087 28174 42261 56348 70435 84522 112696 140870 169044 211305 225392 281740 338088 352175 422610 563480 676176 704350 845220 1056525 1126960 1408700 1690440 2113050 2817400 3380880 4226100 5634800 8452200 12240511 16904400 24481022 36721533 48962044 61202555 73443066 97924088 122405110 146886132 183607665 195848176 244810220 293772264 306012775 367215330 489620440 587544528 612025550 734430660 918038325 979240880 1224051100 1468861320 1836076650 2448102200 2937722640 3672153300 4896204400 7344306600 14688613200 172432078457 344864156914 517296235371 689728313828 862160392285 1034592470742 1379456627656 1724320784570 2069184941484 2586481176855 2758913255312 3448641569140 4138369882968 4310801961425 5172962353710 6897283138280 8276739765936 8621603922850 10345924707420 12932405884275 13794566276560 17243207845700 20691849414840 25864811768550 34486415691400 41383698829680 51729623537100 68972831382800 103459247074200 206918494148400