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40076278848 = 263347210499
BaseRepresentation
bin100101010100101110…
…110111110001000000
310211102222120220102000
4211110232313301000
51124034011410343
630224421424000
72616061515054
oct452456676100
9124388526360
1040076278848
1115aa6018511
12792556b000
133a18b0bc88
141d22785c64
151098552ed3
hex954bb7c40

40076278848 has 168 divisors, whose sum is σ = 120388380000. Its totient is φ = 13073285376.

The previous prime is 40076278841. The next prime is 40076278889. The reversal of 40076278848 is 84887267004.

It is a happy number.

40076278848 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 627 + 8 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×400762788482 (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 = 40076278794 and 40076278803.

It is not an unprimeable number, because it can be changed into a prime (40076278841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3811903 + ... + 3822401.

It is an arithmetic number, because the mean of its divisors is an integer number (716597500).

Almost surely, 240076278848 is an apocalyptic number.

40076278848 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 40076278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60194190000).

40076278848 is an abundant number, since it is smaller than the sum of its proper divisors (80312101152).

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

40076278848 is a wasteful number, since it uses less digits than its factorization.

40076278848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 40076278848 in words is "forty billion, seventy-six million, two hundred seventy-eight thousand, eight hundred forty-eight".