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46480266336 = 253729881009
BaseRepresentation
bin101011010010011100…
…001001010001100000
311102222021211011201210
4223102130021101200
51230142422010321
633204105230120
73233552513400
oct532234112140
9142867734653
1046480266336
1118791998059
129012192340
1344c97b429a
14236d0b6800
15132088ab76
hexad2709460

46480266336 has 72 divisors (see below), whose sum is σ = 141930827640. Its totient is φ = 13280074752.

The previous prime is 46480266331. The next prime is 46480266367. The reversal of 46480266336 is 63366208464.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46480266331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4935801 + ... + 4945208.

It is an arithmetic number, because the mean of its divisors is an integer number (1971261495).

Almost surely, 246480266336 is an apocalyptic number.

It is an amenable number.

46480266336 is an abundant number, since it is smaller than the sum of its proper divisors (95450561304).

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

46480266336 is a wasteful number, since it uses less digits than its factorization.

46480266336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9881036 (or 9881021 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 46480266336 in words is "forty-six billion, four hundred eighty million, two hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 9881009 19762018 29643027 39524036 59286054 69167063 79048072 118572108 138334126 158096144 207501189 237144216 276668252 316192288 415002378 474288432 484169441 553336504 830004756 948576864 968338882 1106673008 1452508323 1660009512 1936677764 2213346016 2905016646 3320019024 3873355528 5810033292 6640038048 7746711056 11620066584 15493422112 23240133168 46480266336