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218868153246990 = 232513187066797647
BaseRepresentation
bin110001110000111100110110…
…100001101110010100001110
31001200221120221220202010020200
4301300330312201232110032
5212141413434212400430
62053254350323354330
764046462604563442
oct6160746641562416
91050846856663220
10218868153246990
116381350a699505
122066a1458229a6
139518241922cb0
143c093bcda6822
151a483e2659460
hexc70f3686e50e

218868153246990 has 48 divisors (see below), whose sum is σ = 612830829094848. Its totient is φ = 53875237722048.

The previous prime is 218868153246983. The next prime is 218868153247049. The reversal of 218868153246990 is 99642351868812.

218868153246990 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 6 + 8 + 153 + 2 + 469 + 9 + 0 = 666.

218868153246990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 93533397654 + ... + 93533399993.

It is an arithmetic number, because the mean of its divisors is an integer number (12767308939476).

Almost surely, 2218868153246990 is an apocalyptic number.

218868153246990 is an abundant number, since it is smaller than the sum of its proper divisors (393962675847858).

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

218868153246990 is a wasteful number, since it uses less digits than its factorization.

218868153246990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187066797673 (or 187066797670 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 218868153246990 in words is "two hundred eighteen trillion, eight hundred sixty-eight billion, one hundred fifty-three million, two hundred forty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 187066797647 374133595294 561200392941 935333988235 1122400785882 1683601178823 1870667976470 2431868369411 2806001964705 3367202357646 4863736738822 5612003929410 7295605108233 8418005894115 12159341847055 14591210216466 16836011788230 21886815324699 24318683694110 36478025541165 43773630649398 72956051082330 109434076623495 218868153246990