Search a number
-
+
46222148911344 = 24372157360734703
BaseRepresentation
bin10101000001001111011101…
…10001000100000011110000
320001122210110000211112010220
422200213232301010003300
522024300430110130334
6242150055001253040
712510303640124400
oct1240475661040360
9201583400745126
1046222148911344
111380078106262a
1252261b4194180
131ca39648a5c13
14b5b241c10800
1555252686e449
hex2a09eec440f0

46222148911344 has 240 divisors, whose sum is σ = 139829785463808. Its totient is φ = 13118195510784.

The previous prime is 46222148911327. The next prime is 46222148911357. The reversal of 46222148911344 is 44311984122264.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1331917897 + ... + 1331952599.

Almost surely, 246222148911344 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 46222148911344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914892731904).

46222148911344 is an abundant number, since it is smaller than the sum of its proper divisors (93607636552464).

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

46222148911344 is a wasteful number, since it uses less digits than its factorization.

46222148911344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38492 (or 38479 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 46222148911344 in words is "forty-six trillion, two hundred twenty-two billion, one hundred forty-eight million, nine hundred eleven thousand, three hundred forty-four".