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46748861568 = 2732833471409
BaseRepresentation
bin101011100010011100…
…110000010010000000
311110200000020020010100
4223202130300102000
51231220202032233
633250502202400
73243323524023
oct534234602200
9143600206110
1046748861568
111890a571692
129088123400
134540337886
142396a331ba
151339244813
hexae2730480

46748861568 has 192 divisors, whose sum is σ = 136634752800. Its totient is φ = 15339945984.

The previous prime is 46748861557. The next prime is 46748861569. The reversal of 46748861568 is 86516884764.

46748861568 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 8 + 8 + 61 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (46748861569) 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 23 ways as a sum of consecutive naturals, for example, 33178048 + ... + 33179456.

Almost surely, 246748861568 is an apocalyptic number.

46748861568 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 46748861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68317376400).

46748861568 is an abundant number, since it is smaller than the sum of its proper divisors (89885891232).

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

46748861568 is a wasteful number, since it uses less digits than its factorization.

46748861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1844 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 46748861568 in words is "forty-six billion, seven hundred forty-eight million, eight hundred sixty-one thousand, five hundred sixty-eight".