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1097016848928 = 2534711132331593
BaseRepresentation
bin11111111011010110100…
…11001011001000100000
310212212120222201222210000
433331223103023020200
5120433142303131203
62155543530140000
7142154046235050
oct17755323131040
93785528658700
101097016848928
11393273459490
12158738881600
137c5a9a42b20
143b14b209560
151d808b394a3
hexff6b4cb220

1097016848928 has 1920 divisors, whose sum is σ = 4673829371904. Its totient is φ = 243059097600.

The previous prime is 1097016848899. The next prime is 1097016849017. The reversal of 1097016848928 is 8298486107901.

1097016848928 is a `hidden beast` number, since 1 + 0 + 9 + 70 + 1 + 68 + 489 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1849943800 + ... + 1849944392.

Almost surely, 21097016848928 is an apocalyptic number.

1097016848928 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 1097016848928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336914685952).

1097016848928 is an abundant number, since it is smaller than the sum of its proper divisors (3576812522976).

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

1097016848928 is a wasteful number, since it uses less digits than its factorization.

1097016848928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 1097016848928 in words is "one trillion, ninety-seven billion, sixteen million, eight hundred forty-eight thousand, nine hundred twenty-eight".