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46466481408144 = 2437138293099429
BaseRepresentation
bin10101001000010110100100…
…00111100100100010010000
320002112011002222112101110020
422210023102013210202100
522042301323220030034
6242454223514503440
712534043504103250
oct1244132207444220
9202464088471406
1046466481408144
1113895362415836
125265622734b80
131cc0a02734405
14b68dbda45960
15558a76d2d249
hex2a42d21e4890

46466481408144 has 40 divisors (see below), whose sum is σ = 137186754634560. Its totient is φ = 13276137545088.

The previous prime is 46466481408097. The next prime is 46466481408157. The reversal of 46466481408144 is 44180418466464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69146549379 + ... + 69146550050.

It is an arithmetic number, because the mean of its divisors is an integer number (3429668865864).

Almost surely, 246466481408144 is an apocalyptic number.

It is an amenable number.

46466481408144 is an abundant number, since it is smaller than the sum of its proper divisors (90720273226416).

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

46466481408144 is a wasteful number, since it uses less digits than its factorization.

46466481408144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138293099447 (or 138293099441 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 60.

The spelling of 46466481408144 in words is "forty-six trillion, four hundred sixty-six billion, four hundred eighty-one million, four hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 138293099429 276586198858 414879298287 553172397716 829758596574 968051696003 1106344795432 1659517193148 1936103392006 2212689590864 2904155088009 3319034386296 3872206784012 5808310176018 6638068772592 7744413568024 11616620352036 15488827136048 23233240704072 46466481408144