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1995504345216 = 273212589137597
BaseRepresentation
bin11101000010011101010…
…100111110000010000000
321001202202010110220222100
4131002131110332002000
5230143243103021331
64124415543310400
7264112313032554
oct35023524760200
97052663426870
101995504345216
116aa31a1a8908
122828aa44b400
1311623804c605
146c823795864
1536d9349bae6
hex1d09d53e080

1995504345216 has 96 divisors (see below), whose sum is σ = 5742769488300. Its totient is φ = 665110444032.

The previous prime is 1995504345209. The next prime is 1995504345217. The reversal of 1995504345216 is 6125434055991.

It is a happy number.

1995504345216 is a `hidden beast` number, since 1 + 9 + 9 + 550 + 4 + 34 + 52 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1864535630400 + 130968714816 = 1365480^2 + 361896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1995504345217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14433730 + ... + 14571326.

Almost surely, 21995504345216 is an apocalyptic number.

1995504345216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1995504345216 is an abundant number, since it is smaller than the sum of its proper divisors (3747265143084).

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

1995504345216 is a wasteful number, since it uses less digits than its factorization.

1995504345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150206 (or 150191 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 1995504345216 in words is "one trillion, nine hundred ninety-five billion, five hundred four million, three hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12589 25178 37767 50356 75534 100712 113301 137597 151068 201424 226602 275194 302136 402848 412791 453204 550388 604272 805696 825582 906408 1100776 1208544 1238373 1611392 1651164 1812816 2201552 2417088 2476746 3302328 3625632 4403104 4834176 4953492 6604656 7251264 8806208 9906984 13209312 14502528 17612416 19813968 26418624 39627936 52837248 79255872 158511744 1732208633 3464417266 5196625899 6928834532 10393251798 13857669064 15589877697 20786503596 27715338128 31179755394 41573007192 55430676256 62359510788 83146014384 110861352512 124719021576 166292028768 221722705024 249438043152 332584057536 498876086304 665168115072 997752172608 1995504345216