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563403466112 = 2729391938729
BaseRepresentation
bin10000011001011010111…
…01101010010110000000
31222212020120000111210012
420030231131222112000
533212322241403422
61110453551324052
755463443305644
oct10145535522600
91885216014705
10563403466112
111a7a35628a73
1291236820628
1341189a45626
141d3a9b06c24
15e9c70754e2
hex832d76a580

563403466112 has 64 divisors (see below), whose sum is σ = 1161435240000. Its totient is φ = 271911456768.

The previous prime is 563403466007. The next prime is 563403466123. The reversal of 563403466112 is 211664304365.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 563403466112.

It is a congruent number.

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, 14527964 + ... + 14566692.

It is an arithmetic number, because the mean of its divisors is an integer number (18147425625).

Almost surely, 2563403466112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563403466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580717620000).

563403466112 is an abundant number, since it is smaller than the sum of its proper divisors (598031773888).

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

563403466112 is a wasteful number, since it uses less digits than its factorization.

563403466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42691 (or 42679 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 563403466112 in words is "five hundred sixty-three billion, four hundred three million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 3919 7838 15676 31352 38729 62704 77458 113651 125408 154916 227302 250816 309832 454604 501632 619664 909208 1123141 1239328 1818416 2246282 2478656 3636832 4492564 4957312 7273664 8985128 14547328 17970256 35940512 71881024 143762048 151778951 303557902 607115804 1214231608 2428463216 4401589579 4856926432 8803179158 9713852864 17606358316 19427705728 35212716632 70425433264 140850866528 281701733056 563403466112