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1097722460016 = 243472133159727
BaseRepresentation
bin11111111100101010101…
…10110111011101110000
310212221102011110202020000
433332111112313131300
5120441113422210031
62200141533550000
7142210404646200
oct17762526673560
93787364422200
101097722460016
113935a5790546
121588b5045300
137c68cc98190
143b1b6c04400
151d84aa693e6
hexff955b7770

1097722460016 has 1200 divisors, whose sum is σ = 4183912212480. Its totient is φ = 275042718720.

The previous prime is 1097722460011. The next prime is 1097722460053. The reversal of 1097722460016 is 6100642277901.

1097722460016 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 7 + 2 + 24 + 600 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097722460011) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1509934245 + ... + 1509934971.

Almost surely, 21097722460016 is an apocalyptic number.

1097722460016 is a gapful number since it is divisible by the number (16) 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 1097722460016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091956106240).

1097722460016 is an abundant number, since it is smaller than the sum of its proper divisors (3086189752464).

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

1097722460016 is a wasteful number, since it uses less digits than its factorization.

1097722460016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1097722460016 in words is "one trillion, ninety-seven billion, seven hundred twenty-two million, four hundred sixty thousand, sixteen".