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2886861860064 = 2533713151243161
BaseRepresentation
bin101010000000100110011…
…000000010110011100000
3101012222111100220021101000
4222000212120002303200
5334244243114010224
610050112300312000
7415366061635440
oct52004630026340
911188440807330
102886861860064
11a13347294696
123a75b0242600
1317c2cb142c80
149da2102c120
1550161dbc0c9
hex2a026602ce0

2886861860064 has 384 divisors, whose sum is σ = 10431766517760. Its totient is φ = 756324864000.

The previous prime is 2886861859979. The next prime is 2886861860087. The reversal of 2886861860064 is 4600681686882.

2886861860064 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 8 + 6 + 18 + 600 + 6 + 4 = 666.

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 = 2886861859983 and 2886861860010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11750644 + ... + 11993804.

It is an arithmetic number, because the mean of its divisors is an integer number (27166058640).

Almost surely, 22886861860064 is an apocalyptic number.

2886861860064 is a gapful number since it is divisible by the number (24) 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 2886861860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215883258880).

2886861860064 is an abundant number, since it is smaller than the sum of its proper divisors (7544904657696).

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

2886861860064 is a wasteful number, since it uses less digits than its factorization.

2886861860064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243351 (or 243337 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2886861860064 in words is "two trillion, eight hundred eighty-six billion, eight hundred sixty-one million, eight hundred sixty thousand, sixty-four".