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13824660644 = 22172291512731
BaseRepresentation
bin11001110000000001…
…11001010010100100
31022200110112112012022
430320000321102210
5211303103120034
610203450242312
7666405451034
oct147000712244
938613475168
1013824660644
11595472a183
122819a26398
1313c41aa492
149520b38c4
1555da4ab2e
hex3380394a4

13824660644 has 72 divisors (see below), whose sum is σ = 26772070080. Its totient is φ = 6237504000.

The previous prime is 13824660643. The next prime is 13824660671. The reversal of 13824660644 is 44606642831.

It is a super-2 number, since 2×138246606442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13824660595 and 13824660604.

It is not an unprimeable number, because it can be changed into a prime (13824660643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5060759 + ... + 5063489.

Almost surely, 213824660644 is an apocalyptic number.

It is an amenable number.

13824660644 is a deficient number, since it is larger than the sum of its proper divisors (12947409436).

13824660644 is a wasteful number, since it uses less digits than its factorization.

13824660644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 13824660644 in words is "thirteen billion, eight hundred twenty-four million, six hundred sixty thousand, six hundred forty-four".

Divisors: 1 2 4 17 29 34 58 68 116 151 289 302 493 578 604 986 1156 1972 2567 2731 4379 5134 5462 8381 8758 10268 10924 16762 17516 33524 43639 46427 74443 79199 87278 92854 148886 158398 174556 185708 297772 316796 412381 789259 824762 1265531 1346383 1578518 1649524 2531062 2692766 3157036 5062124 5385532 7010477 11959049 14020954 22888511 23918098 28041908 45777022 47836196 91554044 119178109 203303833 238356218 406607666 476712436 813215332 3456165161 6912330322 13824660644