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427138312560 = 2435421872
BaseRepresentation
bin1100011011100110110…
…11010110100101110000
31111211112000002111012020
412031303123112211300
523444234402000220
6524120304231440
742600612515541
oct6156333264560
91454460074166
10427138312560
1115516a495293
126a94790b580
1331381b8815b
141696052a4c8
15b19e1a0040
hex63736d6970

427138312560 has 60 divisors (see below), whose sum is σ = 1324160156808. Its totient is φ = 113900850048.

The previous prime is 427138312511. The next prime is 427138312567. The reversal of 427138312560 is 65213831724.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427138312567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10103787 + ... + 10145973.

Almost surely, 2427138312560 is an apocalyptic number.

427138312560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427138312560 is an abundant number, since it is smaller than the sum of its proper divisors (897021844248).

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

427138312560 is an frugal number, since it uses more digits than its factorization.

427138312560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84390 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 427138312560 in words is "four hundred twenty-seven billion, one hundred thirty-eight million, three hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42187 84374 126561 168748 210935 253122 337496 421870 506244 632805 674992 843740 1012488 1265610 1687480 2024976 2531220 3374960 5062440 10124880 1779742969 3559485938 5339228907 7118971876 8898714845 10678457814 14237943752 17797429690 21356915628 26696144535 28475887504 35594859380 42713831256 53392289070 71189718760 85427662512 106784578140 142379437520 213569156280 427138312560