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748117114047 = 3334779850263
BaseRepresentation
bin10101110001011110100…
…00010011110010111111
32122112000120100001102000
422320233100103302333
544224120440122142
61331402534033343
7105023016355602
oct12705720236277
92575016301360
10748117114047
11269302675656
12100ba6aa8853
13557160b8a64
14282cd944339
15146d84c014c
hexae2f413cbf

748117114047 has 16 divisors (see below), whose sum is σ = 1111515674880. Its totient is φ = 497307431736.

The previous prime is 748117114007. The next prime is 748117114049. The reversal of 748117114047 is 740411711847.

It is a happy number.

748117114047 is a `hidden beast` number, since 7 + 481 + 17 + 114 + 0 + 47 = 666.

It is not a de Polignac number, because 748117114047 - 28 = 748117113791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 748117113993 and 748117114011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748117114049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39915763 + ... + 39934500.

It is an arithmetic number, because the mean of its divisors is an integer number (69469729680).

Almost surely, 2748117114047 is an apocalyptic number.

748117114047 is a deficient number, since it is larger than the sum of its proper divisors (363398560833).

748117114047 is a wasteful number, since it uses less digits than its factorization.

748117114047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79850619 (or 79850613 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 748117114047 in words is "seven hundred forty-eight billion, one hundred seventeen million, one hundred fourteen thousand, forty-seven".

Divisors: 1 3 9 27 347 1041 3123 9369 79850263 239550789 718652367 2155957101 27708041261 83124123783 249372371349 748117114047