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11276569895472 = 24327107104552087
BaseRepresentation
bin1010010000011000011111…
…1100010110001000110000
31110221000210112201001222100
42210012013330112020300
52434223403343123342
635552215032140400
72242463625412230
oct244060774261060
943830715631870
1011276569895472
1136584037a9962
121321584537700
1363a4b704178b
142adb08a29cc0
151484e1de9e4c
hexa4187f16230

11276569895472 has 120 divisors (see below), whose sum is σ = 36404200624896. Its totient is φ = 3191766081408.

The previous prime is 11276569895431. The next prime is 11276569895477. The reversal of 11276569895472 is 27459896567211.

11276569895472 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 6 + 5 + 69 + 8 + 95 + 472 = 666.

It is a super-2 number, since 2×112765698954722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11276569895472.

It is not an unprimeable number, because it can be changed into a prime (11276569895477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52168188 + ... + 52383899.

Almost surely, 211276569895472 is an apocalyptic number.

11276569895472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11276569895472 is an abundant number, since it is smaller than the sum of its proper divisors (25127630729424).

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

11276569895472 is a wasteful number, since it uses less digits than its factorization.

11276569895472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104552215 (or 104552206 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 11276569895472 in words is "eleven trillion, two hundred seventy-six billion, five hundred sixty-nine million, eight hundred ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 107 112 126 144 168 214 252 321 336 428 504 642 749 856 963 1008 1284 1498 1712 1926 2247 2568 2996 3852 4494 5136 5992 6741 7704 8988 11984 13482 15408 17976 26964 35952 53928 107856 104552087 209104174 313656261 418208348 627312522 731864609 836416696 940968783 1254625044 1463729218 1672833392 1881937566 2195593827 2509250088 2927458436 3763875132 4391187654 5018500176 5854916872 6586781481 7527750264 8782375308 11187073309 11709833744 13173562962 15055500528 17564750616 22374146618 26347125924 33561219927 35129501232 44748293236 52694251848 67122439854 78309513163 89496586472 100683659781 105388503696 134244879708 156619026326 178993172944 201367319562 234928539489 268489759416 313238052652 402734639124 469857078978 536979518832 626476105304 704785618467 805469278248 939714157956 1252952210608 1409571236934 1610938556496 1879428315912 2819142473868 3758856631824 5638284947736 11276569895472