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3886298042256 = 243473193114843
BaseRepresentation
bin111000100011011001011…
…010100000111110010000
3111202112012210101210020000
4320203121122200332100
51002133114244323011
612133201330250000
7550530042213000
oct70433132407620
914675183353200
103886298042256
111269195a24953
12529235426900
13222626670ab6
14d615262a000
156b158db1356
hex388d96a0f90

3886298042256 has 800 divisors, whose sum is σ = 14254040064000. Its totient is φ = 1017928477440.

The previous prime is 3886298042243. The next prime is 3886298042269. The reversal of 3886298042256 is 6522408926883.

3886298042256 is a `hidden beast` number, since 3 + 8 + 86 + 2 + 9 + 80 + 422 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (3886298042243) and next prime (3886298042269).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3886298042193 and 3886298042202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 261819571 + ... + 261834413.

It is an arithmetic number, because the mean of its divisors is an integer number (17817550080).

Almost surely, 23886298042256 is an apocalyptic number.

3886298042256 is a gapful number since it is divisible by the number (36) 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 3886298042256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127020032000).

3886298042256 is an abundant number, since it is smaller than the sum of its proper divisors (10367742021744).

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

3886298042256 is a wasteful number, since it uses less digits than its factorization.

3886298042256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14934 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3886298042256 in words is "three trillion, eight hundred eighty-six billion, two hundred ninety-eight million, forty-two thousand, two hundred fifty-six".