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45166065696 = 2533205325463
BaseRepresentation
bin101010000100000110…
…110111100000100000
311022120200220212101000
4222010012313200200
51220000003100241
632425441312000
73156154136553
oct520406674040
9138520825330
1045166065696
1118178080724
128906035600
13434a44677b
14228673a69a
1512952e2eb6
hexa841b7820

45166065696 has 96 divisors (see below), whose sum is σ = 131803701120. Its totient is φ = 15047430912.

The previous prime is 45166065673. The next prime is 45166065697. The reversal of 45166065696 is 69656066154.

45166065696 is a `hidden beast` number, since 4 + 5 + 16 + 60 + 6 + 569 + 6 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (45166065697) 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 15 ways as a sum of consecutive naturals, for example, 1761061 + ... + 1786523.

It is an arithmetic number, because the mean of its divisors is an integer number (1372955220).

Almost surely, 245166065696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45166065696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65901850560).

45166065696 is an abundant number, since it is smaller than the sum of its proper divisors (86637635424).

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

45166065696 is a wasteful number, since it uses less digits than its factorization.

45166065696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27535 (or 27521 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 45166065696 in words is "forty-five billion, one hundred sixty-six million, sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2053 4106 6159 8212 12318 16424 18477 24636 25463 32848 36954 49272 50926 55431 65696 73908 76389 98544 101852 110862 147816 152778 197088 203704 221724 229167 295632 305556 407408 443448 458334 591264 611112 687501 814816 886896 916668 1222224 1375002 1773792 1833336 2444448 2750004 3666672 5500008 7333344 11000016 22000032 52275539 104551078 156826617 209102156 313653234 418204312 470479851 627306468 836408624 940959702 1254612936 1411439553 1672817248 1881919404 2509225872 2822879106 3763838808 5018451744 5645758212 7527677616 11291516424 15055355232 22583032848 45166065696