Search a number
-
+
46852985088 = 283371374489
BaseRepresentation
bin101011101000101001…
…111101000100000000
311110221021011020202000
4223220221331010000
51231423331010323
633305102024000
73246026542110
oct535051750400
9143837136660
1046852985088
111896331a188
1290b6b78000
134558a93220
1423a67b9040
151343460e43
hexae8a7d100

46852985088 has 288 divisors, whose sum is σ = 170528467200. Its totient is φ = 12356665344.

The previous prime is 46852985071. The next prime is 46852985089. The reversal of 46852985088 is 88058925864.

46852985088 is a `hidden beast` number, since 46 + 85 + 2 + 9 + 8 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46852985089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591748 + ... + 666236.

Almost surely, 246852985088 is an apocalyptic number.

46852985088 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 46852985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85264233600).

46852985088 is an abundant number, since it is smaller than the sum of its proper divisors (123675482112).

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

46852985088 is a wasteful number, since it uses less digits than its factorization.

46852985088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74534 (or 74514 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 46852985088 in words is "forty-six billion, eight hundred fifty-two million, nine hundred eighty-five thousand, eighty-eight".