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46808073792 = 2632615212557
BaseRepresentation
bin101011100101111110…
…101000011001000000
311110211010122112000200
4223211332220121000
51231330331330132
633300415245200
73244643030304
oct534576503100
9143733575020
1046808073792
111893aa34707
1290a3b19800
13454c69a0ac
1423a0847d04
15133e53dd7c
hexae5fa8640

46808073792 has 168 divisors, whose sum is σ = 136681521912. Its totient is φ = 15311462400.

The previous prime is 46808073791. The next prime is 46808073803. The reversal of 46808073792 is 29737080864.

It can be written as a sum of positive squares in 4 ways, for example, as 141705216 + 46666368576 = 11904^2 + 216024^2 .

It is not an unprimeable number, because it can be changed into a prime (46808073791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18304578 + ... + 18307134.

Almost surely, 246808073792 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 46808073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68340760956).

46808073792 is an abundant number, since it is smaller than the sum of its proper divisors (89873448120).

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

46808073792 is a wasteful number, since it uses less digits than its factorization.

46808073792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 46808073792 in words is "forty-six billion, eight hundred eight million, seventy-three thousand, seven hundred ninety-two".