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46805050864 = 241113138114813
BaseRepresentation
bin101011100101110011…
…000110010111110000
311110210220221221100101
4223211303012113300
51231324043111424
633300230402144
73244605240145
oct534563062760
9143726857311
1046805050864
111893925a520
1290a2b00354
13454bb7c190
1423a029c3cc
15133e143344
hexae5cc65f0

46805050864 has 80 divisors (see below), whose sum is σ = 106623113184. Its totient is φ = 19622937600.

The previous prime is 46805050861. The next prime is 46805050967.

46805050864 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46805050861) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3152322 + ... + 3167134.

Almost surely, 246805050864 is an apocalyptic number.

46805050864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46805050864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53311556592).

46805050864 is an abundant number, since it is smaller than the sum of its proper divisors (59818062320).

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

46805050864 is a wasteful number, since it uses less digits than its factorization.

46805050864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16226 (or 16220 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 46805050864 in words is "forty-six billion, eight hundred five million, fifty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1381 2288 2762 5524 11048 14813 15191 17953 22096 29626 30382 35906 59252 60764 71812 118504 121528 143624 162943 192569 197483 237008 243056 287248 325886 385138 394966 651772 770276 789932 1303544 1540552 1579864 2118259 2607088 3081104 3159728 4236518 8473036 16946072 20456753 33892144 40913506 81827012 163654024 225024283 265937789 327308048 450048566 531875578 900097132 1063751156 1800194264 2127502312 2925315679 3600388528 4255004624 5850631358 11701262716 23402525432 46805050864