Search a number
-
+
46078129872 = 2432896935677
BaseRepresentation
bin101010111010011110…
…000111011011010000
311101221021010112012200
4222322132013123100
51223332000123442
633100142123200
73220600433025
oct527236073320
9141837115180
1046078129872
11185a59a2a75
128b1b580500
1344643a5408
14233191754c
1512ea40434c
hexaba7876d0

46078129872 has 60 divisors (see below), whose sum is σ = 128972758980. Its totient is φ = 15357233664.

The previous prime is 46078129871. The next prime is 46078129913. The reversal of 46078129872 is 27892187064.

It is a happy number.

46078129872 is a `hidden beast` number, since 4 + 607 + 8 + 1 + 29 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28377423936 + 17700705936 = 168456^2 + 133044^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46078129871) 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 11 ways as a sum of consecutive naturals, for example, 1273698 + ... + 1309374.

It is an arithmetic number, because the mean of its divisors is an integer number (2149545983).

Almost surely, 246078129872 is an apocalyptic number.

It is an amenable number.

46078129872 is an abundant number, since it is smaller than the sum of its proper divisors (82894629108).

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

46078129872 is a wasteful number, since it uses less digits than its factorization.

46078129872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44660 (or 44651 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 46078129872 in words is "forty-six billion, seventy-eight million, one hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8969 17938 26907 35677 35876 53814 71354 71752 80721 107031 107628 142708 143504 161442 214062 215256 285416 321093 322884 428124 430512 570832 642186 645768 856248 1284372 1291536 1712496 2568744 5137488 319987013 639974026 959961039 1279948052 1919922078 2559896104 2879883117 3839844156 5119792208 5759766234 7679688312 11519532468 15359376624 23039064936 46078129872