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65040340560 = 24351322393481
BaseRepresentation
bin111100100100101101…
…001101011001010000
320012212202212122011020
4330210231031121100
52031200311344220
645513520115440
74461521526066
oct744455153120
9205782778136
1065040340560
1125646638578
1210731a65b80
136196a71620
143210056036
151a59ec7040
hexf24b4d650

65040340560 has 160 divisors (see below), whose sum is σ = 218110706688. Its totient is φ = 15937966080.

The previous prime is 65040340559. The next prime is 65040340583. The reversal of 65040340560 is 6504304056.

It is a super-2 number, since 2×650403405602 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 649020 + ... + 742500.

Almost surely, 265040340560 is an apocalyptic number.

65040340560 is a gapful number since it is divisible by the number (60) 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 65040340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109055353344).

65040340560 is an abundant number, since it is smaller than the sum of its proper divisors (153070366128).

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

65040340560 is a wasteful number, since it uses less digits than its factorization.

65040340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93733 (or 93727 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 65040340560 in words is "sixty-five billion, forty million, three hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 223 240 260 312 390 446 520 624 669 780 892 1040 1115 1338 1560 1784 2230 2676 2899 3120 3345 3568 4460 5352 5798 6690 8697 8920 10704 11596 13380 14495 17394 17840 23192 26760 28990 34788 43485 46384 53520 57980 69576 86970 93481 115960 139152 173940 186962 231920 280443 347880 373924 467405 560886 695760 747848 934810 1121772 1215253 1402215 1495696 1869620 2243544 2430506 2804430 3645759 3739240 4487088 4861012 5608860 6076265 7291518 7478480 9722024 11217720 12152530 14583036 18228795 19444048 20846263 22435440 24305060 29166072 36457590 41692526 48610120 58332144 62538789 72915180 83385052 97220240 104231315 125077578 145830360 166770104 208462630 250155156 271001419 291660720 312693945 333540208 416925260 500310312 542002838 625387890 813004257 833850520 1000620624 1084005676 1250775780 1355007095 1626008514 1667701040 2168011352 2501551560 2710014190 3252017028 4065021285 4336022704 5003103120 5420028380 6504034056 8130042570 10840056760 13008068112 16260085140 21680113520 32520170280 65040340560