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46923448320 = 21632572273
BaseRepresentation
bin101011101100110110…
…110000000000000000
311111010011202011010100
4223230312300000000
51232044400321240
633320100202400
73250543505220
oct535466600000
9144104664110
1046923448320
111899a077261
129116699400
13456a564848
1423b1cbc080
15134972de30
hexaecdb0000

46923448320 has 408 divisors, whose sum is σ = 185986603296. Its totient is φ = 10720641024.

The previous prime is 46923448283. The next prime is 46923448339. The reversal of 46923448320 is 2384432964.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 20642704 + ... + 20644976.

Almost surely, 246923448320 is an apocalyptic number.

46923448320 is a gapful number since it is divisible by the number (40) 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 46923448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92993301648).

46923448320 is an abundant number, since it is smaller than the sum of its proper divisors (139063154976).

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

46923448320 is an equidigital number, since it uses as much as digits as its factorization.

46923448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 46923448320 in words is "forty-six billion, nine hundred twenty-three million, four hundred forty-eight thousand, three hundred twenty".