Search a number
-
+
46624804656 = 2431723361073
BaseRepresentation
bin101011011011000011…
…100000111100110000
311110100100210111000220
4223123003200330300
51230441422222111
633230311213040
73240256205043
oct533303407460
9143310714026
1046624804656
1118856539911
129052677180
134520720211
14238437cc5a
15132d3dbe06
hexadb0e0f30

46624804656 has 60 divisors (see below), whose sum is σ = 127949365032. Its totient is φ = 14627385344.

The previous prime is 46624804627. The next prime is 46624804657. The reversal of 46624804656 is 65640842664.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 46624804599 and 46624804608.

It is not an unprimeable number, because it can be changed into a prime (46624804657) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1666665 + ... + 1694408.

Almost surely, 246624804656 is an apocalyptic number.

It is an amenable number.

46624804656 is an abundant number, since it is smaller than the sum of its proper divisors (81324560376).

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

46624804656 is a wasteful number, since it uses less digits than its factorization.

46624804656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361118 (or 3361095 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 46624804656 in words is "forty-six billion, six hundred twenty-four million, eight hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3468 4624 6936 13872 3361073 6722146 10083219 13444292 20166438 26888584 40332876 53777168 57138241 80665752 114276482 161331504 171414723 228552964 342829446 457105928 685658892 914211856 971350097 1371317784 1942700194 2742635568 2914050291 3885400388 5828100582 7770800776 11656201164 15541601552 23312402328 46624804656