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40509547848 = 23337113178569
BaseRepresentation
bin100101101110100011…
…101010010101001000
310212120011212020202000
4211232203222111020
51130430421012343
630335420111000
72632602322020
oct455643522510
9125504766660
1040509547848
11161a8646970
127a26695460
133a877cb473
141d6412aa80
1510c15d8ed3
hex96e8ea548

40509547848 has 256 divisors, whose sum is σ = 144820224000. Its totient is φ = 10182412800.

The previous prime is 40509547769. The next prime is 40509547853. The reversal of 40509547848 is 84874590504.

It is a happy number.

40509547848 is a `hidden beast` number, since 4 + 0 + 50 + 9 + 547 + 8 + 48 = 666.

It is a super-2 number, since 2×405095478482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40509547794 and 40509547803.

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 63 ways as a sum of consecutive naturals, for example, 476308 + ... + 554876.

It is an arithmetic number, because the mean of its divisors is an integer number (565704000).

Almost surely, 240509547848 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 40509547848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72410112000).

40509547848 is an abundant number, since it is smaller than the sum of its proper divisors (104310676152).

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

40509547848 is a wasteful number, since it uses less digits than its factorization.

40509547848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78633 (or 78623 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 40509547848 in words is "forty billion, five hundred nine million, five hundred forty-seven thousand, eight hundred forty-eight".