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12840414766484 = 2237714495694783
BaseRepresentation
bin1011101011011010010001…
…0111000110010110010100
31200110112100120201200221012
42322312210113012112110
53140334132140011414
643150445523111352
72463455306451044
oct272664427062624
950415316650835
1012840414766484
114100653428858
121534684b12558
13721acc630366
1432569d63b724
1517401e32833e
hexbada45c6594

12840414766484 has 96 divisors (see below), whose sum is σ = 23501342592000. Its totient is φ = 6132908113920.

The previous prime is 12840414766477. The next prime is 12840414766499. The reversal of 12840414766484 is 48466741404821.

12840414766484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2684591957 + ... + 2684596739.

It is an arithmetic number, because the mean of its divisors is an integer number (244805652000).

Almost surely, 212840414766484 is an apocalyptic number.

It is an amenable number.

12840414766484 is a deficient number, since it is larger than the sum of its proper divisors (10660927825516).

12840414766484 is a wasteful number, since it uses less digits than its factorization.

12840414766484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 59.

The spelling of 12840414766484 in words is "twelve trillion, eight hundred forty billion, four hundred fourteen million, seven hundred sixty-six thousand, four hundred eighty-four".

Divisors: 1 2 4 37 71 74 142 148 284 449 569 898 1138 1796 2276 2627 4783 5254 9566 10508 16613 19132 21053 31879 33226 40399 42106 63758 66452 80798 84212 127516 161596 176971 255481 339593 353942 510962 679186 707884 1021924 1179523 1358372 1494763 2147567 2359046 2721527 2989526 4295134 4718092 5443054 5979052 8590268 9452797 10886108 12564941 18139151 18905594 25129882 36278302 37811188 50259764 72556604 79459979 100696499 152477257 158919958 193228417 201392998 304954514 317839916 386456834 402785996 609909028 671148587 772913668 1221965623 1342297174 2443931246 2684594348 4887862492 5641658509 7149451429 11283317018 14298902858 22566634036 28597805716 45212728051 86759559233 90425456102 173519118466 180850912204 347038236932 3210103691621 6420207383242 12840414766484