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11978278731225 = 3252179212892
BaseRepresentation
bin1010111001001110100100…
…0011000111110111011001
31120102010000211200022200100
42232103221003013313121
53032223003323344400
641250424551530013
72344254625201212
oct256235103076731
946363024608610
1011978278731225
1138a8a61086104
121415579389909
1368b71552c921
142d5a74c76409
1515b8b0eee100
hexae4e90c7dd9

11978278731225 has 81 divisors (see below), whose sum is σ = 21591705592093. Its totient is φ = 6347797438080.

The previous prime is 11978278731197. The next prime is 11978278731269. The reversal of 11978278731225 is 52213787287911.

The square root of 11978278731225 is 3460965.

It is a perfect power (a square), and thus also a powerful number.

11978278731225 is a `hidden beast` number, since 1 + 1 + 9 + 78 + 278 + 73 + 1 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 445544235081 + 11532734496144 = 667491^2 + 3395988^2 .

It is not a de Polignac number, because 11978278731225 - 233 = 11969688796633 is a prime.

It is a super-2 number, since 2×119782787312252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9292690381 + ... + 9292691669.

Almost surely, 211978278731225 is an apocalyptic number.

11978278731225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11978278731225 is the 3460965-th square number.

11978278731225 is the 1730483-rd centered octagonal number.

It is an amenable number.

11978278731225 is a deficient number, since it is larger than the sum of its proper divisors (9613426860868).

11978278731225 is an frugal number, since it uses more digits than its factorization.

11978278731225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 1476 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The spelling of 11978278731225 in words is "eleven trillion, nine hundred seventy-eight billion, two hundred seventy-eight million, seven hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 179 225 537 895 1289 1611 2685 3867 4475 6445 8055 11601 13425 19335 32041 32225 40275 58005 96123 96675 160205 230731 288369 290025 480615 692193 801025 1153655 1441845 1661521 2076579 2403075 3460965 4984563 5768275 7209225 8307605 10382895 14953689 17304825 24922815 41300849 41538025 51914475 74768445 123902547 124614075 206504245 297412259 371707641 373842225 619512735 892236777 1032521225 1487061295 1858538205 2676710331 3097563675 4461183885 7435306475 9292691025 13383551655 22305919425 53236794361 66917758275 159710383083 266183971805 479131149249 798551915415 1330919859025 2395655746245 3992759577075 11978278731225