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2426690854692 = 22321337733191189
BaseRepresentation
bin100011010100000010000…
…010111101111100100100
322120222201020222010100200
4203110002002331330210
5304224330324322232
65054450102510500
7340215442632666
oct43240202757444
98528636863320
102426690854692
118561767a6385
12332385a35430
13147ab3802950
14856497c0536
15431ccc4277c
hex235020bdf24

2426690854692 has 144 divisors (see below), whose sum is σ = 6793823465520. Its totient is φ = 725498809344.

The previous prime is 2426690854589. The next prime is 2426690854717. The reversal of 2426690854692 is 2964580966242.

2426690854692 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 6 + 90 + 85 + 469 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 79250132196 + 2347440722496 = 281514^2 + 1532136^2 .

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, 12597034 + ... + 12788222.

Almost surely, 22426690854692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426690854692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396911732760).

2426690854692 is an abundant number, since it is smaller than the sum of its proper divisors (4367132610828).

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

2426690854692 is a wasteful number, since it uses less digits than its factorization.

2426690854692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191982 (or 191977 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 2426690854692 in words is "two trillion, four hundred twenty-six billion, six hundred ninety million, eight hundred fifty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 733 962 1332 1443 1466 1924 2199 2886 2932 4329 4398 5772 6597 8658 8796 9529 13194 17316 19058 26388 27121 28587 38116 54242 57174 81363 85761 108484 114348 162726 171522 191189 244089 325452 343044 352573 382378 488178 573567 705146 764756 976356 1057719 1147134 1410292 1720701 2115438 2294268 2485457 3173157 3441402 4230876 4970914 6346314 6882804 7073993 7456371 9941828 12692628 14147986 14912742 21221979 22369113 28295972 29825484 42443958 44738226 63665937 84887916 89476452 91961909 127331874 140141537 183923818 254663748 275885727 280283074 367847636 420424611 551771454 560566148 827657181 840849222 1103542908 1261273833 1655314362 1681698444 1821839981 2522547666 3310628724 3643679962 5045095332 5185236869 5465519943 7287359924 10370473738 10931039886 15555710607 16396559829 20740947476 21862079772 31111421214 32793119658 46667131821 62222842428 65586239316 67408079297 93334263642 134816158594 186668527284 202224237891 269632317188 404448475782 606672713673 808896951564 1213345427346 2426690854692