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17984134805952 = 263713381052683
BaseRepresentation
bin1000001011011010000011…
…11101110111100111000000
32100200021012021110021220010
410011231001331313213000
54324123002002242302
6102125444130544520
73534211424421510
oct405550175674700
970607167407803
1017984134805952
115804035286137
122025542438140
13a05b86ba55a3
144626186cb840
15212c1e14016c
hex105b41f779c0

17984134805952 has 56 divisors (see below), whose sum is σ = 54380598107776. Its totient is φ = 5138324229888.

The previous prime is 17984134805939. The next prime is 17984134805977. The reversal of 17984134805952 is 25950843148971.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6690524998 + ... + 6690527685.

Almost surely, 217984134805952 is an apocalyptic number.

17984134805952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

17984134805952 is an abundant number, since it is smaller than the sum of its proper divisors (36396463301824).

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

17984134805952 is a wasteful number, since it uses less digits than its factorization.

17984134805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13381052705 (or 13381052695 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 17984134805952 in words is "seventeen trillion, nine hundred eighty-four billion, one hundred thirty-four million, eight hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 13381052683 26762105366 40143158049 53524210732 80286316098 93667368781 107048421464 160572632196 187334737562 214096842928 281002106343 321145264392 374669475124 428193685856 562004212686 642290528784 749338950248 856387371712 1124008425372 1284581057568 1498677900496 2248016850744 2569162115136 2997355800992 4496033701488 5994711601984 8992067402976 17984134805952