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46873297536 = 2731331499607
BaseRepresentation
bin101011101001110111…
…011100001010000000
311110222200101020011220
4223221313130022000
51231444031010121
633311105235040
73246364312062
oct535167341200
9143880336156
1046873297536
111897383322a
129101932a80
134560055920
1423a9385732
1513451246c6
hexae9ddc280

46873297536 has 256 divisors, whose sum is σ = 138915840000. Its totient is φ = 13906391040.

The previous prime is 46873297529. The next prime is 46873297543. The reversal of 46873297536 is 63579237864.

It is an interprime number because it is at equal distance from previous prime (46873297529) and next prime (46873297543).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46873297536.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77220945 + ... + 77221551.

It is an arithmetic number, because the mean of its divisors is an integer number (542640000).

Almost surely, 246873297536 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 46873297536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457920000).

46873297536 is an abundant number, since it is smaller than the sum of its proper divisors (92042542464).

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

46873297536 is a wasteful number, since it uses less digits than its factorization.

46873297536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1155 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 60.

The spelling of 46873297536 in words is "forty-six billion, eight hundred seventy-three million, two hundred ninety-seven thousand, five hundred thirty-six".