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163505555501440 = 275972798394121
BaseRepresentation
bin100101001011010100011010…
…100011011111000110000000
3210102220222102021211202020011
4211023110122203133012000
5132412333334202021230
61335425225405354304
746303613042325565
oct4513243243370600
9712828367752204
10163505555501440
1148109353554959
121640857b868994
13703067a619249
142c539d540886c
1513d824c2cde2a
hex94b51a8df180

163505555501440 has 128 divisors (see below), whose sum is σ = 394928472597120. Its totient is φ = 64724971683840.

The previous prime is 163505555501437. The next prime is 163505555501447. The reversal of 163505555501440 is 44105555505361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163505555501447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737137580 + ... + 1737231700.

It is an arithmetic number, because the mean of its divisors is an integer number (3085378692165).

Almost surely, 2163505555501440 is an apocalyptic number.

163505555501440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163505555501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197464236298560).

163505555501440 is an abundant number, since it is smaller than the sum of its proper divisors (231422917095680).

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

163505555501440 is an equidigital number, since it uses as much as digits as its factorization.

163505555501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122220 (or 122208 counting only the distinct ones).

The product of its (nonzero) digits is 4500000, while the sum is 49.

The spelling of 163505555501440 in words is "one hundred sixty-three trillion, five hundred five billion, five hundred fifty-five million, five hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 27983 31040 55966 62080 94121 111932 139915 188242 223864 279830 376484 447728 470605 559660 752968 895456 941210 1119320 1505936 1790912 1882420 2238640 2714351 3011872 3581824 3764840 4477280 5428702 6023744 7529680 8954560 9129737 10857404 12047488 13571755 15059360 17909120 18259474 21714808 27143510 30118720 36518948 43429616 45648685 54287020 60237440 73037896 86859232 91297370 108574040 146075792 173718464 182594740 217148080 292151584 347436928 365189480 434296160 584303168 730378960 868592320 1168606336 1460757920 1737184640 2633787943 2921515840 5267575886 5843031680 10535151772 13168939715 21070303544 26337879430 42140607088 52675758860 84281214176 105351517720 168562428352 210703035440 255477430471 337124856704 421406070880 510954860942 842812141760 1021909721884 1277387152355 1685624283520 2043819443768 2554774304710 4087638887536 5109548609420 8175277775072 10219097218840 16350555550144 20438194437680 32701111100288 40876388875360 81752777750720 163505555501440