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46923383808 = 210337242453
BaseRepresentation
bin101011101100110110…
…100000010000000000
311111010011121212122000
4223230312200100000
51232044341240213
633320054544000
73250543116150
oct535466402000
9144104555560
1046923383808
111899a032844
129116668000
13456a541382
1423b1ca2760
151349719c73
hexaecda0400

46923383808 has 176 divisors, whose sum is σ = 158817068160. Its totient is φ = 13406625792.

The previous prime is 46923383807. The next prime is 46923383827. The reversal of 46923383808 is 80838332964.

It is a happy number.

46923383808 is a `hidden beast` number, since 469 + 23 + 3 + 83 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46923383807) 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 15 ways as a sum of consecutive naturals, for example, 72310 + ... + 314762.

Almost surely, 246923383808 is an apocalyptic number.

46923383808 is a gapful number since it is divisible by the number (48) 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 46923383808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79408534080).

46923383808 is an abundant number, since it is smaller than the sum of its proper divisors (111893684352).

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

46923383808 is a wasteful number, since it uses less digits than its factorization.

46923383808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242489 (or 242465 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46923383808 in words is "forty-six billion, nine hundred twenty-three million, three hundred eighty-three thousand, eight hundred eight".