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997373273400 = 23325273312412
BaseRepresentation
bin11101000001110000001…
…01000110010100111000
310112100101122202212222200
432200320011012110320
5112320110024222100
62042104214350200
7132025560642000
oct16407005062470
93470348685880
10997373273400
11354a90236369
1214136a35b360
137308a02884a
14363b7649000
151ae25d56e00
hexe838146538

997373273400 has 1296 divisors, whose sum is σ = 4137050502000. Its totient is φ = 215236224000.

The previous prime is 997373273399. The next prime is 997373273419. The reversal of 997373273400 is 4372373799.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×9973732734002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 24326177380 + ... + 24326177420.

Almost surely, 2997373273400 is an apocalyptic number.

997373273400 is a gapful number since it is divisible by the number (90) 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 997373273400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068525251000).

997373273400 is an abundant number, since it is smaller than the sum of its proper divisors (3139677228600).

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

997373273400 is a wasteful number, since it uses less digits than its factorization.

997373273400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 54.

The spelling of 997373273400 in words is "nine hundred ninety-seven billion, three hundred seventy-three million, two hundred seventy-three thousand, four hundred".