Search a number
-
+
46499863514832 = 243771316787443
BaseRepresentation
bin10101001001010100101111…
…10110001100111011010000
320002122100021102212010000000
422210222113312030323100
522043323210024433312
6242521424205130000
712536334652243410
oct1244522766147320
9202570242763000
1046499863514832
11138a8532783662
12526bb9a259900
131cc3bc26c8a70
14b6a869320640
1555987c827adc
hex2a4a97d8ced0

46499863514832 has 640 divisors, whose sum is σ = 167298812190720. Its totient is φ = 12190125528576.

The previous prime is 46499863514821. The next prime is 46499863514849. The reversal of 46499863514832 is 23841536899464.

46499863514832 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 98 + 6 + 3 + 51 + 483 + 2 = 666.

46499863514832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 531729703 + ... + 531817145.

It is an arithmetic number, because the mean of its divisors is an integer number (261404394048).

Almost surely, 246499863514832 is an apocalyptic number.

46499863514832 is a gapful number since it is divisible by the number (42) 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 46499863514832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83649406095360).

46499863514832 is an abundant number, since it is smaller than the sum of its proper divisors (120798948675888).

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

46499863514832 is a wasteful number, since it uses less digits than its factorization.

46499863514832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87659 (or 87635 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 46499863514832 in words is "forty-six trillion, four hundred ninety-nine billion, eight hundred sixty-three million, five hundred fourteen thousand, eight hundred thirty-two".