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8071046016 = 273111910759
BaseRepresentation
bin1111000010001001…
…00110001110000000
3202211111002121201020
413201010212032000
5113012141433031
63412514305440
7404002521255
oct74104461600
922744077636
108071046016
113471993370
121692b88280
139b8189a97
14567cbd42c
15323881096
hex1e1126380

8071046016 has 64 divisors (see below), whose sum is σ = 23387702400. Its totient is φ = 2445770240.

The previous prime is 8071045973. The next prime is 8071046029. The reversal of 8071046016 is 6106401708.

It is a happy number.

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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951156 + ... + 959603.

It is an arithmetic number, because the mean of its divisors is an integer number (365432850).

Almost surely, 28071046016 is an apocalyptic number.

It is an amenable number.

8071046016 is an abundant number, since it is smaller than the sum of its proper divisors (15316656384).

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

8071046016 is a wasteful number, since it uses less digits than its factorization.

8071046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910787 (or 1910775 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 8071046016 is about 89839.0005287236. Note that the first 3 decimals coincide. The cubic root of 8071046016 is about 2005.9030611264.

The spelling of 8071046016 in words is "eight billion, seventy-one million, forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 1910759 3821518 5732277 7643036 11464554 15286072 21018349 22929108 30572144 42036698 45858216 61144288 63055047 84073396 91716432 122288576 126110094 168146792 183432864 244577152 252220188 336293584 366865728 504440376 672587168 733731456 1008880752 1345174336 2017761504 2690348672 4035523008 8071046016