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28734015062144 = 277216737373547
BaseRepresentation
bin1101000100010001010001…
…10000101100000010000000
310202201221111220200111110102
412202020220300230002000
512231234230323442034
6141040120240221532
76023651452102100
oct642105060540200
9122657456614412
1028734015062144
119179033454577
123280a1760a8a8
1313057b54a3322
14714a3b5a1200
1534c68722a97e
hex1a2228c2c080

28734015062144 has 192 divisors, whose sum is σ = 67168675949760. Its totient is φ = 12207854647296.

The previous prime is 28734015062107. The next prime is 28734015062167. The reversal of 28734015062144 is 44126051043782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390652379 + ... + 390725925.

It is an arithmetic number, because the mean of its divisors is an integer number (349836853905).

Almost surely, 228734015062144 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 28734015062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33584337974880).

28734015062144 is an abundant number, since it is smaller than the sum of its proper divisors (38434660887616).

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

28734015062144 is a wasteful number, since it uses less digits than its factorization.

28734015062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74115 (or 74096 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 28734015062144 in words is "twenty-eight trillion, seven hundred thirty-four billion, fifteen million, sixty-two thousand, one hundred forty-four".