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540640986648 = 233741523150077
BaseRepresentation
bin1111101111000001011…
…01101100011000011000
31220200111012101202010020
413313200231230120120
532324213043033043
61052211140350440
754026405364030
oct7674055543030
91820435352106
10540640986648
11199314819274
12889436a5420
133bc9cc49879
141c24a9a68c0
15e0e3a31e83
hex7de0b6c618

540640986648 has 128 divisors (see below), whose sum is σ = 1585399979520. Its totient is φ = 150412170240.

The previous prime is 540640986631. The next prime is 540640986671. The reversal of 540640986648 is 846689046045.

540640986648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 540640986591 and 540640986600.

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, 3527386 + ... + 3677462.

It is an arithmetic number, because the mean of its divisors is an integer number (12385937340).

Almost surely, 2540640986648 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 540640986648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792699989760).

540640986648 is an abundant number, since it is smaller than the sum of its proper divisors (1044758992872).

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

540640986648 is a wasteful number, since it uses less digits than its factorization.

540640986648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150657 (or 150653 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 540640986648 in words is "five hundred forty billion, six hundred forty million, nine hundred eighty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 523 574 861 984 1046 1148 1569 1722 2092 2296 3138 3444 3661 4184 6276 6888 7322 10983 12552 14644 21443 21966 29288 42886 43932 64329 85772 87864 128658 150077 150101 171544 257316 300154 300202 450231 450303 514632 600308 600404 900462 900606 1050539 1200616 1200808 1800924 1801212 2101078 3151617 3601848 3602424 4202156 6153157 6303234 8404312 12306314 12606468 18459471 24612628 25212936 36918942 43072099 49225256 73837884 78490271 86144198 129216297 147675768 156980542 172288396 235470813 258432594 313961084 344576792 470941626 516865188 549431897 627922168 941883252 1033730376 1098863794 1648295691 1883766504 2197727588 3218101111 3296591382 4395455176 6436202222 6593182764 9654303333 12872404444 13186365528 19308606666 22526707777 25744808888 38617213332 45053415554 67580123331 77234426664 90106831108 135160246662 180213662216 270320493324 540640986648