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1095230727648 = 253659898941
BaseRepresentation
bin11111111000000001101…
…01101010010111100000
310212200222111211122000000
433330000311222113200
5120421013031241043
62155050403300000
7142061560403301
oct17740065522740
93780874748000
101095230727648
113925372140a2
1215831a67a600
137c3839a1c25
143b01bd067a8
151d751e232d3
hexff00d6a5e0

1095230727648 has 336 divisors, whose sum is σ = 3324980761200. Its totient is φ = 354817013760.

The previous prime is 1095230727637. The next prime is 1095230727697. The reversal of 1095230727648 is 8467270325901.

It is a happy number.

1095230727648 is a `hidden beast` number, since 1 + 0 + 9 + 523 + 0 + 7 + 2 + 76 + 48 = 666.

1095230727648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10952307276482 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1095230727594 and 1095230727603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 122490858 + ... + 122499798.

It is an arithmetic number, because the mean of its divisors is an integer number (9895776075).

It is a 1-persistent number, because it is pandigital, but 2⋅1095230727648 = 2190461455296 is not.

Almost surely, 21095230727648 is an apocalyptic number.

1095230727648 is a gapful number since it is divisible by the number (18) 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 1095230727648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662490380600).

1095230727648 is an abundant number, since it is smaller than the sum of its proper divisors (2229750033552).

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

1095230727648 is an frugal number, since it uses more digits than its factorization.

1095230727648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9117 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1095230727648 in words is "one trillion, ninety-five billion, two hundred thirty million, seven hundred twenty-seven thousand, six hundred forty-eight".