Search a number
-
+
46384031232 = 2932711314217
BaseRepresentation
bin101011001100101101…
…000010011000000000
311102201120201220222200
4223030231002120000
51224443302444412
633150350433200
73231303521520
oct531455023000
9142646656880
1046384031232
1118742638210
128ba5b02800
1344b288b336
1423603c5680
1513171cb9dc
hexaccb42600

46384031232 has 480 divisors, whose sum is σ = 172324399104. Its totient is φ = 11656396800.

The previous prime is 46384031137. The next prime is 46384031249. The reversal of 46384031232 is 23213048364.

46384031232 is a `hidden beast` number, since 4 + 638 + 4 + 0 + 3 + 12 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10997188 + ... + 11001404.

Almost surely, 246384031232 is an apocalyptic number.

46384031232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46384031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86162199552).

46384031232 is an abundant number, since it is smaller than the sum of its proper divisors (125940367872).

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

46384031232 is a wasteful number, since it uses less digits than its factorization.

46384031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 46384031232 its reverse (23213048364), we get a palindrome (69597079596).

The spelling of 46384031232 in words is "forty-six billion, three hundred eighty-four million, thirty-one thousand, two hundred thirty-two".