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427747632040 = 23524149190371
BaseRepresentation
bin1100011100101111011…
…11101110001110101000
31111220002110122010101101
412032113233232032220
524002011343211130
6524300552131144
742621661611301
oct6162757561650
91456073563341
10427747632040
11155452429003
126aa97996ab4
133144b197921
14169bb41b7a8
15b1d790e1ca
hex6397bee3a8

427747632040 has 64 divisors (see below), whose sum is σ = 968404662720. Its totient is φ = 170040192000.

The previous prime is 427747632031. The next prime is 427747632049. The reversal of 427747632040 is 40236747724.

It is an interprime number because it is at equal distance from previous prime (427747632031) and next prime (427747632049).

It is a super-3 number, since 3×4277476320403 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (427747632049) 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 15 ways as a sum of consecutive naturals, for example, 4688055 + ... + 4778425.

It is an arithmetic number, because the mean of its divisors is an integer number (15131322855).

Almost surely, 2427747632040 is an apocalyptic number.

427747632040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427747632040 is an abundant number, since it is smaller than the sum of its proper divisors (540657030680).

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

427747632040 is a wasteful number, since it uses less digits than its factorization.

427747632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91114 (or 91110 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 46.

The spelling of 427747632040 in words is "four hundred twenty-seven billion, seven hundred forty-seven million, six hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 491 964 982 1205 1928 1964 2410 2455 3928 4820 4910 9640 9820 19640 90371 118331 180742 236662 361484 451855 473324 591655 722968 903710 946648 1183310 1807420 2366620 3614840 4733240 21779411 43558822 44372161 87117644 88744322 108897055 174235288 177488644 217794110 221860805 354977288 435588220 443721610 871176440 887443220 1774886440 10693690801 21387381602 42774763204 53468454005 85549526408 106936908010 213873816020 427747632040