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4016079258048 = 263511132314481
BaseRepresentation
bin111010011100010000111…
…110100100000111000000
3112012221012110122122100000
4322130100332210013000
51011244412242224143
612312543352200000
7563103121306344
oct72342076440700
915187173578300
104016079258048
111309234051190
1254a414999000
1323193a112400
14dc544a23624
156e702909bd3
hex3a710fa41c0

4016079258048 has 1008 divisors, whose sum is σ = 14559929459712. Its totient is φ = 1086898176000.

The previous prime is 4016079257999. The next prime is 4016079258049. The reversal of 4016079258048 is 8408529706104.

It is a happy number.

4016079258048 is a `hidden beast` number, since 4 + 0 + 1 + 607 + 9 + 25 + 8 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×40160792580482 (a number of 26 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 = 4016079257985 and 4016079258003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016079258049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 896243968 + ... + 896248448.

It is an arithmetic number, because the mean of its divisors is an integer number (14444374464).

Almost surely, 24016079258048 is an apocalyptic number.

4016079258048 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 4016079258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279964729856).

4016079258048 is an abundant number, since it is smaller than the sum of its proper divisors (10543850201664).

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

4016079258048 is a wasteful number, since it uses less digits than its factorization.

4016079258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4016079258048 in words is "four trillion, sixteen billion, seventy-nine million, two hundred fifty-eight thousand, forty-eight".