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11446531603104 = 2531335051261673
BaseRepresentation
bin1010011010010001101001…
…1100110011101010100000
31111112021111110122101211210
42212210122130303222200
53000014444042244404
640202244121310120
72260661503163643
oct246443234635240
944467443571753
1011446531603104
1137134a0752444
12134a4b8335340
1365053207c350
142b802d575a5a
1514cb3d1ce689
hexa691a733aa0

11446531603104 has 96 divisors (see below), whose sum is σ = 32359511185344. Its totient is φ = 3521895782400.

The previous prime is 11446531603063. The next prime is 11446531603201. The reversal of 11446531603104 is 40130613564411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43612812 + ... + 43874484.

It is an arithmetic number, because the mean of its divisors is an integer number (337078241514).

Almost surely, 211446531603104 is an apocalyptic number.

It is an amenable number.

11446531603104 is an abundant number, since it is smaller than the sum of its proper divisors (20912979582240).

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

11446531603104 is a wasteful number, since it uses less digits than its factorization.

11446531603104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296750 (or 296742 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 11446531603104 in words is "eleven trillion, four hundred forty-six billion, five hundred thirty-one million, six hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 35051 70102 105153 140204 210306 261673 280408 420612 455663 523346 560816 785019 841224 911326 1046692 1121632 1366989 1570038 1682448 1822652 2093384 2733978 3140076 3364896 3401749 3645304 4186768 5467956 6280152 6803498 7290608 8373536 10205247 10935912 12560304 13606996 14581216 20410494 21871824 25120608 27213992 40820988 43743648 54427984 81641976 108855968 163283952 326567904 9171900323 18343800646 27515700969 36687601292 55031401938 73375202584 110062803876 119234704199 146750405168 220125607752 238469408398 293500810336 357704112597 440251215504 476938816796 715408225194 880502431008 953877633592 1430816450388 1907755267184 2861632900776 3815510534368 5723265801552 11446531603104