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20141265561660 = 2233573510940273
BaseRepresentation
bin1001001010001100000001…
…11110101010100000111100
32122022111010102112120122000
410211012000332222200330
510114443302440433120
6110500434125222300
74146105223336215
oct445060076524074
978274112476560
1020141265561660
116465954367401
122313619101990
13b3140c113789
144d8bb19a440c
1524ddc1c43990
hex125180faa83c

20141265561660 has 96 divisors (see below), whose sum is σ = 63520094863680. Its totient is φ = 5297428740096.

The previous prime is 20141265561647. The next prime is 20141265561707. The reversal of 20141265561660 is 6616556214102.

20141265561660 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 1 + 26 + 5 + 5 + 616 + 6 + 0 = 666.

It is a super-2 number, since 2×201412655616602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255430717 + ... + 255509556.

It is an arithmetic number, because the mean of its divisors is an integer number (661667654830).

Almost surely, 220141265561660 is an apocalyptic number.

20141265561660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20141265561660 is an abundant number, since it is smaller than the sum of its proper divisors (43378829302020).

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

20141265561660 is a wasteful number, since it uses less digits than its factorization.

20141265561660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510940364 (or 510940356 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 20141265561660 in words is "twenty trillion, one hundred forty-one billion, two hundred sixty-five million, five hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3942 4380 6570 7884 9855 13140 19710 39420 510940273 1021880546 1532820819 2043761092 2554701365 3065641638 4598462457 5109402730 6131283276 7664104095 9196924914 10218805460 13795387371 15328208190 18393849828 22992312285 27590774742 30656416380 37298639929 45984624570 55181549484 68976936855 74597279858 91969249140 111895919787 137953873710 149194559716 186493199645 223791839574 275907747420 335687759361 372986399290 447583679148 559479598935 671375518722 745972798580 1007063278083 1118959197870 1342751037444 1678438796805 2014126556166 2237918395740 3356877593610 4028253112332 5035316390415 6713755187220 10070632780830 20141265561660