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4378346011728 = 2432136173790697
BaseRepresentation
bin111111101101101001110…
…000100011110001010000
3120111120021110110111022100
4333231221300203301100
51033213323034333403
613151215010040400
7631216332022023
oct77555160436120
916446243414270
104378346011728
1114389341a9097
125a8677279100
13259b511a2860
14111cad6b11ba
1578d568222a3
hex3fb69c23c50

4378346011728 has 120 divisors (see below), whose sum is σ = 13217238995688. Its totient is φ = 1344999591936.

The previous prime is 4378346011693. The next prime is 4378346011729. The reversal of 4378346011728 is 8271106438734.

4378346011728 is a `hidden beast` number, since 4 + 3 + 7 + 8 + 3 + 4 + 601 + 1 + 7 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160054404624 + 4218291607104 = 400068^2 + 2053848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4378346011729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740325 + ... + 3050372.

Almost surely, 24378346011728 is an apocalyptic number.

4378346011728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4378346011728 is an abundant number, since it is smaller than the sum of its proper divisors (8838892983960).

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

4378346011728 is a wasteful number, since it uses less digits than its factorization.

4378346011728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791341 (or 3791332 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 4378346011728 in words is "four trillion, three hundred seventy-eight billion, three hundred forty-six million, eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 617 624 936 1234 1851 1872 2468 3702 4936 5553 7404 8021 9872 11106 14808 16042 22212 24063 29616 32084 44424 48126 64168 72189 88848 96252 128336 144378 192504 288756 385008 577512 1155024 3790697 7581394 11372091 15162788 22744182 30325576 34116273 45488364 49279061 60651152 68232546 90976728 98558122 136465092 147837183 181953456 197116244 272930184 295674366 394232488 443511549 545860368 591348732 788464976 887023098 1182697464 1774046196 2338860049 2365394928 3548092392 4677720098 7016580147 7096184784 9355440196 14033160294 18710880392 21049740441 28066320588 30405180637 37421760784 42099480882 56132641176 60810361274 84198961764 91215541911 112265282352 121620722548 168397923528 182431083822 243241445096 273646625733 336795847056 364862167644 486482890192 547293251466 729724335288 1094586502932 1459448670576 2189173005864 4378346011728