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242206015722066 = 2321123311171013939
BaseRepresentation
bin110111000100100011111011…
…100001111001001001010010
31011202120200001200022221122100
4313010203323201321021102
5223221300410011101231
62215043524010421230
7102005543600542614
oct6704437341711122
91152520050287570
10242206015722066
11701a0aa3639430
12231b9194731816
13a51bc1081bb16
1443b4b959b2db4
151d005033ee1e6
hexdc48fb879252

242206015722066 has 96 divisors (see below), whose sum is σ = 599298515112960. Its totient is φ = 69978903429600.

The previous prime is 242206015722049. The next prime is 242206015722119. The reversal of 242206015722066 is 660227510602242.

It is a happy number.

242206015722066 is a `hidden beast` number, since 2 + 422 + 0 + 6 + 0 + 15 + 7 + 2 + 206 + 6 = 666.

242206015722066 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 84090676 + ... + 86923263.

It is an arithmetic number, because the mean of its divisors is an integer number (6242692865760).

Almost surely, 2242206015722066 is an apocalyptic number.

242206015722066 is an abundant number, since it is smaller than the sum of its proper divisors (357092499390894).

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

242206015722066 is a wasteful number, since it uses less digits than its factorization.

242206015722066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171014292 (or 171014289 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 242206015722066 in words is "two hundred forty-two trillion, two hundred six billion, fifteen million, seven hundred twenty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 311 414 506 622 759 933 1518 1866 2277 2799 3421 4554 5598 6842 7153 10263 14306 20526 21459 30789 42918 61578 64377 78683 128754 157366 236049 472098 708147 1416294 171013939 342027878 513041817 1026083634 1539125451 1881153329 3078250902 3762306658 3933320597 5643459987 7866641194 11286919974 11799961791 16930379961 23599923582 33860759922 35399885373 43266526567 53185335029 70799770746 86533053134 106370670058 129799579701 159556005087 259599159402 319112010174 389398739103 478668015261 585038685319 778797478206 957336030522 1170077370638 1223262705667 1755116055957 2446525411334 3510232111914 3669788117001 5265348167871 7339576234002 10530696335742 11009364351003 13455889762337 22018728702006 26911779524674 40367669287011 80735338574022 121103007861033 242206015722066