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12209070245904 = 243272415972
BaseRepresentation
bin1011000110101010010101…
…0010111000100000010000
31121020011202002122000120100
42301222211102320200100
53100013133440332104
641544434111012400
72400035066540100
oct261524522704020
947204662560510
1012209070245904
113987923955aa4
121452248b0a100
136a7405bb576c
14302cca55d200
151628bc7ea139
hexb1aa54b8810

12209070245904 has 135 divisors (see below), whose sum is σ = 39747915952797. Its totient is φ = 3488221924992.

The previous prime is 12209070245873. The next prime is 12209070245947. The reversal of 12209070245904 is 40954207090221.

The square root of 12209070245904 is 3494148.

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

12209070245904 is a `hidden beast` number, since 12 + 20 + 9 + 0 + 7 + 0 + 24 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4038894090000 + 8170176155904 = 2009700^2 + 2858352^2 .

It is a super-2 number, since 2×122090702459042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12209070245904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 293487634 + ... + 293529230.

Almost surely, 212209070245904 is an apocalyptic number.

12209070245904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12209070245904 is the 3494148-th square number.

It is an amenable number.

12209070245904 is an abundant number, since it is smaller than the sum of its proper divisors (27538845706893).

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

12209070245904 is an frugal number, since it uses more digits than its factorization.

12209070245904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83222 (or 41609 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12209070245904 in words is "twelve trillion, two hundred nine billion, seventy million, two hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 41597 83194 124791 166388 249582 291179 332776 374373 499164 582358 665552 748746 873537 998328 1164716 1497492 1747074 1996656 2038253 2329432 2620611 2994984 3494148 4076506 4658864 5241222 5989968 6114759 6988296 8153012 10482444 12229518 13976592 16306024 18344277 20964888 24459036 32612048 36688554 41929776 48918072 73377108 97836144 146754216 293508432 1730310409 3460620818 5190931227 6921241636 10381862454 12112172863 13842483272 15572793681 20763724908 24224345726 27684966544 31145587362 36336518589 41527449816 48448691452 62291174724 72673037178 83054899632 84785210041 96897382904 109009555767 124582349448 145346074356 169570420082 193794765808 218019111534 249164698896 254355630123 290692148712 339140840164 436038223068 508711260246 581384297424 678281680328 763066890369 872076446136 1017422520492 1356563360656 1526133780738 1744152892272 2034845040984 3052267561476 4069690081968 6104535122952 12209070245904