Search a number
-
+
46032666624 = 214327223277
BaseRepresentation
bin101010110111110000…
…101100000000000000
311101211002120202100200
4222313300230000000
51223233330312444
633051435445200
73216506132100
oct526760540000
9141732522320
1046032666624
111858227083a
128b082b6800
134457b47c99
142329881200
1512e6423969
hexab7c2c000

46032666624 has 540 divisors, whose sum is σ = 161998475184. Its totient is φ = 12534939648.

The previous prime is 46032666593. The next prime is 46032666629. The reversal of 46032666624 is 42666623064.

It is a self number, because there is not a number n which added to its sum of digits gives 46032666624.

It is not an unprimeable number, because it can be changed into a prime (46032666629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166182774 + ... + 166183050.

Almost surely, 246032666624 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 46032666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80999237592).

46032666624 is an abundant number, since it is smaller than the sum of its proper divisors (115965808560).

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

46032666624 is a wasteful number, since it uses less digits than its factorization.

46032666624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 46032666624 in words is "forty-six billion, thirty-two million, six hundred sixty-six thousand, six hundred twenty-four".