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642545205063462 = 233113827127328603
BaseRepresentation
bin1001001000011001000011011…
…0101100110010111100100110
310010021001201111010011220111000
42102012100312230302330212
51133204430034444012322
610154325105302254130
7252225234114363351
oct22206206654627446
93107051433156430
10642545205063462
11176809989159578
1260095695127346
132176b9a300557c
14b4954d4dc9298
154e4411e4433ac
hex2486436b32f26

642545205063462 has 64 divisors (see below), whose sum is σ = 1442256190652160. Its totient is φ = 212029625308032.

The previous prime is 642545205063457. The next prime is 642545205063479. The reversal of 642545205063462 is 264360502545246.

642545205063462 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 4 + 520 + 50 + 6 + 3 + 4 + 62 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 642545205063399 and 642545205063408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 58617948 + ... + 68710655.

It is an arithmetic number, because the mean of its divisors is an integer number (22535252978940).

Almost surely, 2642545205063462 is an apocalyptic number.

642545205063462 is an abundant number, since it is smaller than the sum of its proper divisors (799710985588698).

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

642545205063462 is a wasteful number, since it uses less digits than its factorization.

642545205063462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127329554 (or 127329548 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 642545205063462 in words is "six hundred forty-two trillion, five hundred forty-five billion, two hundred five million, sixty-three thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 827 1017 1654 2034 2481 3051 4962 6102 7443 14886 22329 44658 93451 186902 280353 560706 841059 1682118 2523177 5046354 127328603 254657206 381985809 763971618 1145957427 2291914854 3437872281 6875744562 14388132139 28776264278 43164396417 86328792834 105300754681 129493189251 210601509362 258986378502 315902264043 388479567753 631804528086 776959135506 947706792129 1895413584258 2843120376387 5686240752774 11898985278953 23797970557906 35696955836859 71393911673718 107090867510577 214181735021154 321272602531731 642545205063462