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46919822105 = 5134131356249
BaseRepresentation
bin101011101100101000…
…111010101100011001
311111002220220220220002
4223230220322230121
51232042433301410
633315450342345
73250500623162
oct535450725431
9144086826802
1046919822105
111899801a892
12911542a9b5
134569895160
1423b1616769
1513492647a5
hexaeca3ab19

46919822105 has 32 divisors (see below), whose sum is σ = 62313300000. Its totient is φ = 33694801920.

The previous prime is 46919822093. The next prime is 46919822107. The reversal of 46919822105 is 50122891964.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 34746451216 + 12173370889 = 186404^2 + 110333^2 .

It is not a de Polignac number, because 46919822105 - 26 = 46919822041 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 46919822105.

It is not an unprimeable number, because it can be changed into a prime (46919822107) 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 31 ways as a sum of consecutive naturals, for example, 806021 + ... + 862269.

It is an arithmetic number, because the mean of its divisors is an integer number (1947290625).

Almost surely, 246919822105 is an apocalyptic number.

It is an amenable number.

46919822105 is a deficient number, since it is larger than the sum of its proper divisors (15393477895).

46919822105 is a wasteful number, since it uses less digits than its factorization.

46919822105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56621.

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 46919822105 in words is "forty-six billion, nine hundred nineteen million, eight hundred twenty-two thousand, one hundred five".

Divisors: 1 5 13 41 65 205 313 533 1565 2665 4069 12833 20345 56249 64165 166829 281245 731237 834145 2306209 3656185 11531045 17605937 29980717 88029685 149903585 228877181 721843417 1144385905 3609217085 9383964421 46919822105