Search a number
-
+
46847274864 = 24313341321997
BaseRepresentation
bin101011101000010100…
…001010111101110000
311110220212102010210020
4223220110022331300
51231420400243424
633304335403440
73245630160165
oct535024127560
9143825363706
1046847274864
1118960079a95
1290b5083580
1345578440b0
1423a5b3006c
151342bd4079
hexae850af70

46847274864 has 80 divisors (see below), whose sum is σ = 130375634592. Its totient is φ = 14409667584.

The previous prime is 46847274853. The next prime is 46847274869.

46847274864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46847274798 and 46847274807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46847274869) 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 15 ways as a sum of consecutive naturals, for example, 2118714 + ... + 2140710.

Almost surely, 246847274864 is an apocalyptic number.

It is an amenable number.

46847274864 is an abundant number, since it is smaller than the sum of its proper divisors (83528359728).

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

46847274864 is a wasteful number, since it uses less digits than its factorization.

46847274864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25434 (or 25428 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 60.

The spelling of 46847274864 in words is "forty-six billion, eight hundred forty-seven million, two hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3413 6826 10239 13652 20478 21997 27304 40956 43994 44369 54608 65991 81912 87988 88738 131982 133107 163824 175976 177476 263964 266214 285961 351952 354952 527928 532428 571922 709904 857883 1055856 1064856 1143844 1715766 2129712 2287688 3431532 4575376 6863064 13726128 75075761 150151522 225227283 300303044 450454566 600606088 900909132 975984893 1201212176 1801818264 1951969786 2927954679 3603636528 3903939572 5855909358 7807879144 11711818716 15615758288 23423637432 46847274864