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46255566555264 = 2731110950654961
BaseRepresentation
bin10101000010001101101101…
…00111010000100010000000
320001202222200222000201121110
422201012312213100202000
522030322400014232024
6242213303001323320
712512566026324603
oct1241066647204200
9201688628021543
1046255566555264
111381396a493070
12523077b796540
131ca6b5c030a11
14b5cad20da33a
15553330538629
hex2a11b69d0880

46255566555264 has 64 divisors (see below), whose sum is σ = 134036016734880. Its totient is φ = 14016838348800.

The previous prime is 46255566555229. The next prime is 46255566555307.

46255566555264 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×462555665552642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46255566555195 and 46255566555204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5475323257 + ... + 5475331704.

Almost surely, 246255566555264 is an apocalyptic number.

46255566555264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46255566555264 is an abundant number, since it is smaller than the sum of its proper divisors (87780450179616).

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

46255566555264 is a wasteful number, since it uses less digits than its factorization.

46255566555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950654989 (or 10950654977 counting only the distinct ones).

The product of its digits is 1296000000, while the sum is 66.

The spelling of 46255566555264 in words is "forty-six trillion, two hundred fifty-five billion, five hundred sixty-six million, five hundred fifty-five thousand, two hundred sixty-four".

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 10950654961 21901309922 32851964883 43802619844 65703929766 87605239688 120457204571 131407859532 175210479376 240914409142 262815719064 350420958752 361371613713 481828818284 525631438128 700841917504 722743227426 963657636568 1051262876256 1401683835008 1445486454852 1927315273136 2102525752512 2890972909704 3854630546272 4205051505024 5781945819408 7709261092544 11563891638816 15418522185088 23127783277632 46255566555264