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4284694895040 = 26355729711593
BaseRepresentation
bin111110010110011011101…
…101111001100111000000
3120011121112202100211200000
4332112123231321213000
51030200023343120130
613040210041400000
7621362506455300
oct76263355714700
916147482324600
104284694895040
111402146625a9a
1259249b799000
13251077b13a01
1410b547919600
15766c4b88260
hex3e59bb799c0

4284694895040 has 1008 divisors, whose sum is σ = 17963484450912. Its totient is φ = 969178742784.

The previous prime is 4284694895029. The next prime is 4284694895051. The reversal of 4284694895040 is 405984964824.

4284694895040 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 69 + 489 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4284694895029) and next prime (4284694895051).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×42846948950402 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 369587484 + ... + 369599076.

It is an arithmetic number, because the mean of its divisors is an integer number (17820917114).

Almost surely, 24284694895040 is an apocalyptic number.

4284694895040 is a gapful number since it is divisible by the number (40) 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 4284694895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981742225456).

4284694895040 is an abundant number, since it is smaller than the sum of its proper divisors (13678789555872).

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

4284694895040 is a wasteful number, since it uses less digits than its factorization.

4284694895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736 (or 11707 counting only the distinct ones).

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

The spelling of 4284694895040 in words is "four trillion, two hundred eighty-four billion, six hundred ninety-four million, eight hundred ninety-five thousand, forty".