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4016386363392 = 21235131719312
BaseRepresentation
bin111010011100100011010…
…010000101000000000000
3112012221222212112012200000
4322130203102011000000
51011301024402112032
612313034042400000
7563113540541244
oct72344322050000
915187885465600
104016386363392
111309381438a57
1254a49b800000
1323198892a350
14dc573726424
156e71e86de7c
hex3a723485000

4016386363392 has 1872 divisors, whose sum is σ = 14921692793280. Its totient is φ = 1066354606080.

The previous prime is 4016386363343. The next prime is 4016386363397. The reversal of 4016386363392 is 2933636836104.

It is a happy number.

4016386363392 is a `hidden beast` number, since 40 + 163 + 86 + 36 + 339 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×40163863633922 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016386363397) 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, 129560850417 + ... + 129560850447.

It is an arithmetic number, because the mean of its divisors is an integer number (7970989740).

Almost surely, 24016386363392 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 4016386363392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460846396640).

4016386363392 is an abundant number, since it is smaller than the sum of its proper divisors (10905306429888).

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

4016386363392 is a wasteful number, since it uses less digits than its factorization.

4016386363392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 4016386363392 in words is "four trillion, sixteen billion, three hundred eighty-six million, three hundred sixty-three thousand, three hundred ninety-two".