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544019960814 = 23112312779749
BaseRepresentation
bin1111110101010100001…
…11011101001111101110
31221000012200112102021120
413322222013131033232
532403123102221224
61053530323441410
754206215240461
oct7725207351756
91830180472246
10544019960814
1119a7990a3600
1289527226266
133c3bacc0375
141c48b65d2d8
15e2404d4779
hex7eaa1dd3ee

544019960814 has 72 divisors (see below), whose sum is σ = 1235769633000. Its totient is φ = 159536440800.

The previous prime is 544019960777. The next prime is 544019960819. The reversal of 544019960814 is 418069910445.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544019960819) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 307812 + ... + 1087560.

It is an arithmetic number, because the mean of its divisors is an integer number (17163467125).

Almost surely, 2544019960814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544019960814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617884816500).

544019960814 is an abundant number, since it is smaller than the sum of its proper divisors (691749672186).

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

544019960814 is a wasteful number, since it uses less digits than its factorization.

544019960814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779838 (or 779796 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 544019960814 in words is "five hundred forty-four billion, nineteen million, nine hundred sixty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 961 1023 1922 2046 2883 3751 5766 7502 10571 11253 21142 22506 31713 63426 116281 232562 348843 697686 779749 1559498 2339247 4678494 8577239 17154478 24172219 25731717 48344438 51463434 72516657 94349629 145033314 188699258 265894409 283048887 531788818 566097774 749338789 797683227 1498677578 1595366454 2248016367 2924838499 4496032734 5849676998 8242726679 8774515497 16485453358 17549030994 24728180037 49456360074 90669993469 181339986938 272009980407 544019960814