Search a number
-
+
12566634325120 = 27523853711571
BaseRepresentation
bin1011011011011110010111…
…0001100110010010000000
31122111100200100112020221101
42312313211301212102000
53121342431341400440
642421010534104144
72434623625215331
oct266674561462200
948440610466841
1012566634325120
114005530512a87
1214ab5b84ab054
1370204a8b99b5
1431632a824288
1516bd4893c69a
hexb6de5c66480

12566634325120 has 64 divisors (see below), whose sum is σ = 31348288923840. Its totient is φ = 4808103562240.

The previous prime is 12566634325111. The next prime is 12566634325123. The reversal of 12566634325120 is 2152343666521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×125666343251202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (12566634325123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426841066 + ... + 426870505.

It is an arithmetic number, because the mean of its divisors is an integer number (489817014435).

Almost surely, 212566634325120 is an apocalyptic number.

12566634325120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12566634325120 is an abundant number, since it is smaller than the sum of its proper divisors (18781654598720).

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

12566634325120 is an equidigital number, since it uses as much as digits as its factorization.

12566634325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853711613 (or 853711601 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 12566634325120 in words is "twelve trillion, five hundred sixty-six billion, six hundred thirty-four million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 853711571 1707423142 3414846284 4268557855 6829692568 8537115710 13659385136 17074231420 19635366133 27318770272 34148462840 39270732266 54637540544 68296925680 78541464532 98176830665 109275081088 136593851360 157082929064 196353661330 273187702720 314165858128 392707322660 546375405440 628331716256 785414645320 1256663432512 1570829290640 2513326865024 3141658581280 6283317162560 12566634325120