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6754268445012 = 22331131131632551
BaseRepresentation
bin110001001001001100111…
…0001010111100101010100
3212220200221120200121001000
41202102121301113211110
51341130220210220022
622210511301303300
71264660032340434
oct142223161274524
925820846617030
106754268445012
1121745184aa000
12911032a04b30
1339cc0398b25a
14194ca06962c4
15baa624d46ac
hex62499c57954

6754268445012 has 384 divisors, whose sum is σ = 19558181744640. Its totient is φ = 2015399232000.

The previous prime is 6754268444983. The next prime is 6754268445073. The reversal of 6754268445012 is 2105448624576.

6754268445012 is a `hidden beast` number, since 6 + 7 + 54 + 2 + 6 + 84 + 4 + 501 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6754268445012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2647693137 + ... + 2647695687.

It is an arithmetic number, because the mean of its divisors is an integer number (50932764960).

Almost surely, 26754268445012 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 6754268445012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779090872320).

6754268445012 is an abundant number, since it is smaller than the sum of its proper divisors (12803913299628).

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

6754268445012 is a wasteful number, since it uses less digits than its factorization.

6754268445012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 6754268445012 in words is "six trillion, seven hundred fifty-four billion, two hundred sixty-eight million, four hundred forty-five thousand, twelve".