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355220355333042 = 232100938895029169
BaseRepresentation
bin101000011000100100010111…
…1000110001011101110110010
31201120201201211022122201110100
41100301020233012023232302
5333024412241431124132
63255253551201413230
7134551552356332553
oct12061105706135662
91646651738581410
10355220355333042
11a320311a012261
1233a1010233a216
131232919c3b8584
1463a0a8504832a
152b1016b1be37c
hex143122f18bbb2

355220355333042 has 48 divisors (see below), whose sum is σ = 770605134507000. Its totient is φ = 118258994552832.

The previous prime is 355220355333023. The next prime is 355220355333049. The reversal of 355220355333042 is 240333553022553.

355220355333042 is a `hidden beast` number, since 3 + 5 + 5 + 2 + 20 + 3 + 553 + 3 + 30 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 326061424523241 + 29158930809801 = 18057171^2 + 5399901^2 .

It is not an unprimeable number, because it can be changed into a prime (355220355333049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68117434 + ... + 73146602.

Almost surely, 2355220355333042 is an apocalyptic number.

355220355333042 is an abundant number, since it is smaller than the sum of its proper divisors (415384779173958).

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

355220355333042 is a wasteful number, since it uses less digits than its factorization.

355220355333042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034075 (or 5034072 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 45.

The spelling of 355220355333042 in words is "three hundred fifty-five trillion, two hundred twenty billion, three hundred fifty-five million, three hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 1009 2018 3027 3889 6054 7778 9081 11667 18162 23334 35001 70002 3924001 5029169 7848002 10058338 11772003 15087507 23544006 30175014 35316009 45262521 70632018 90525042 5074431521 10148863042 15223294563 19558438241 30446589126 39116876482 45669883689 58675314723 91339767378 117350629446 176025944169 352051888338 19734464185169 39468928370338 59203392555507 118406785111014 177610177666521 355220355333042