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66565006680 = 23353136748757
BaseRepresentation
bin111101111111100101…
…010110010101011000
320100211000210200212210
4331333211112111120
52042311120203210
650325103035120
74544354135604
oct757745262530
9210730720783
1066565006680
1126259235817
1210a9859baa0
13637a8bbb23
14331673a504
151ae8c94e20
hexf7f956558

66565006680 has 128 divisors (see below), whose sum is σ = 206702714880. Its totient is φ = 17130908160.

The previous prime is 66565006667. The next prime is 66565006687. The reversal of 66565006680 is 8660056566.

It is a super-2 number, since 2×665650066802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66565006687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340862 + ... + 1389618.

It is an arithmetic number, because the mean of its divisors is an integer number (1614864960).

Almost surely, 266565006680 is an apocalyptic number.

66565006680 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 66565006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103351357440).

66565006680 is an abundant number, since it is smaller than the sum of its proper divisors (140137708200).

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

66565006680 is a wasteful number, since it uses less digits than its factorization.

66565006680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49169 (or 49165 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 66565006680 in words is "sixty-six billion, five hundred sixty-five million, six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 367 372 465 620 734 744 930 1101 1240 1468 1835 1860 2202 2936 3670 3720 4404 5505 7340 8808 11010 11377 14680 22020 22754 34131 44040 45508 48757 56885 68262 91016 97514 113770 136524 146271 170655 195028 227540 243785 273048 292542 341310 390056 455080 487570 585084 682620 731355 975140 1170168 1365240 1462710 1511467 1950280 2925420 3022934 4534401 5850840 6045868 7557335 9068802 12091736 15114670 17893819 18137604 22672005 30229340 35787638 36275208 45344010 53681457 60458680 71575276 89469095 90688020 107362914 143150552 178938190 181376040 214725828 268407285 357876380 429451656 536814570 554708389 715752760 1073629140 1109416778 1664125167 2147258280 2218833556 2773541945 3328250334 4437667112 5547083890 6656500668 8320625835 11094167780 13313001336 16641251670 22188335560 33282503340 66565006680