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1463032465248 = 25316393496451
BaseRepresentation
bin10101010010100011100…
…001111100011101100000
312011212100020200210111210
4111102203201330131200
5142432242302341443
63040035143110120
7210462210524214
oct25224341743540
95155306623453
101463032465248
1151451775a382
121b7666742340
13a7c6a6a46a3
1450b4db16944
15280cbc1ac33
hex154a387c760

1463032465248 has 48 divisors (see below), whose sum is σ = 3864021368256. Its totient is φ = 484685596800.

The previous prime is 1463032465229. The next prime is 1463032465343. The reversal of 1463032465248 is 8425642303641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×14630324652484 (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1463032465197 and 1463032465206.

It is a congruent number.

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, 46732578 + ... + 46763873.

It is an arithmetic number, because the mean of its divisors is an integer number (80500445172).

Almost surely, 21463032465248 is an apocalyptic number.

It is an amenable number.

1463032465248 is an abundant number, since it is smaller than the sum of its proper divisors (2400988903008).

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

1463032465248 is a wasteful number, since it uses less digits than its factorization.

1463032465248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93496627 (or 93496619 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

Adding to 1463032465248 its reverse (8425642303641), we get a palindrome (9888674768889).

The spelling of 1463032465248 in words is "one trillion, four hundred sixty-three billion, thirty-two million, four hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 15648 93496451 186992902 280489353 373985804 560978706 747971608 1121957412 1495943216 2243914824 2991886432 4487829648 8975659296 15239921513 30479843026 45719764539 60959686052 91439529078 121919372104 182879058156 243838744208 365758116312 487677488416 731516232624 1463032465248