Search a number
-
+
46052483072 = 21323712
BaseRepresentation
bin101010111000111100…
…010010000000000000
311101212110212112102012
4222320330102000000
51223303413424242
633053424312052
73220136435021
oct527074220000
9141773775365
1046052483072
1118592476172
128b12a72628
13445bc959ab
14232c35cc48
1512e803a282
hexab8f12000

46052483072 has 42 divisors (see below), whose sum is σ = 92138204979. Its totient is φ = 23016529920.

The previous prime is 46052483063. The next prime is 46052483077. The reversal of 46052483072 is 27038425064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 23026241536 + 23026241536 = 151744^2 + 151744^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=151744.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46052483077) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19422047 + ... + 19424417.

Almost surely, 246052483072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46052483072

46052483072 is an abundant number, since it is smaller than the sum of its proper divisors (46085721907).

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

46052483072 is an frugal number, since it uses more digits than its factorization.

46052483072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 46052483072 in words is "forty-six billion, fifty-two million, four hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2371 4096 4742 8192 9484 18968 37936 75872 151744 303488 606976 1213952 2427904 4855808 5621641 9711616 11243282 19423232 22486564 44973128 89946256 179892512 359785024 719570048 1439140096 2878280192 5756560384 11513120768 23026241536 46052483072