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16545204711040 = 275193133947577
BaseRepresentation
bin1111000011000011101100…
…0011001010111010000000
32011120201001202121202210011
43300300323003022322000
54132034034401223130
655104432341114304
73325231411421455
oct360607303127200
964521052552704
1016545204711040
1152a98667aa395
121a326a36b8994
1393028aa908c5
14412b13a5b82c
151da5a33d752a
hexf0c3b0cae80

16545204711040 has 64 divisors (see below), whose sum is σ = 39758320101960. Its totient is φ = 6583791255552.

The previous prime is 16545204711011. The next prime is 16545204711053. The reversal of 16545204711040 is 4011740254561.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15704227676736 + 840977034304 = 3962856^2 + 917048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16545204710984 and 16545204711002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66850269 + ... + 67097308.

Almost surely, 216545204711040 is an apocalyptic number.

16545204711040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16545204711040 is an abundant number, since it is smaller than the sum of its proper divisors (23213115390920).

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

16545204711040 is a wasteful number, since it uses less digits than its factorization.

16545204711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133947789 (or 133947777 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 16545204711040 in words is "sixteen trillion, five hundred forty-five billion, two hundred four million, seven hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 320 386 640 772 965 1544 1930 3088 3860 6176 7720 12352 15440 24704 30880 61760 123520 133947577 267895154 535790308 669737885 1071580616 1339475770 2143161232 2678951540 4286322464 5357903080 8572644928 10715806160 17145289856 21431612320 25851882361 42863224640 51703764722 85726449280 103407529444 129259411805 206815058888 258518823610 413630117776 517037647220 827260235552 1034075294440 1654520471104 2068150588880 3309040942208 4136301177760 8272602355520 16545204711040