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13154212000224 = 253297470869559
BaseRepresentation
bin1011111101101011010000…
…1000100011000111100000
31201120112022122120211020100
42333122310020203013200
53211004311233001344
643550543410542400
72525234431103601
oct277326410430740
951515278524210
1013154212000224
114211740820a69
12158545ab97a00
1374558aa556a9
1433694ad53da8
1517c287e16569
hexbf6b42231e0

13154212000224 has 72 divisors (see below), whose sum is σ = 37792932624720. Its totient is φ = 4339533846528.

The previous prime is 13154212000147. The next prime is 13154212000231. The reversal of 13154212000224 is 42200021245131.

13154212000224 is a `hidden beast` number, since 1 + 3 + 15 + 421 + 2 + 0 + 0 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×131542120002243 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235406844 + ... + 235462715.

It is an arithmetic number, because the mean of its divisors is an integer number (524901842010).

Almost surely, 213154212000224 is an apocalyptic number.

It is an amenable number.

13154212000224 is an abundant number, since it is smaller than the sum of its proper divisors (24638720624496).

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

13154212000224 is a wasteful number, since it uses less digits than its factorization.

13154212000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470869672 (or 470869661 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13154212000224 its reverse (42200021245131), we get a palindrome (55354233245355).

The spelling of 13154212000224 in words is "thirteen trillion, one hundred fifty-four billion, two hundred twelve million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 470869559 941739118 1412608677 1883478236 2825217354 3766956472 4237826031 5650434708 7533912944 8475652062 11300869416 15067825888 16951304124 22601738832 33902608248 45203477664 45674347223 67805216496 91348694446 135610432992 137023041669 182697388892 274046083338 365394777784 411069125007 548092166676 730789555568 822138250014 1096184333352 1461579111136 1644276500028 2192368666704 3288553000056 4384737333408 6577106000112 13154212000224