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997697143296 = 29337311033229
BaseRepresentation
bin11101000010010110110…
…00100100001000000000
310112101020020012011222000
432201023120210020000
5112321240432041141
62042200304144000
7132036602536050
oct16411330441000
93471206164860
10997697143296
11355137033637
1214143a908000
137310c163339
1436408673560
151ae444cd5b6
hexe84b624200

997697143296 has 640 divisors, whose sum is σ = 3518936678400. Its totient is φ = 273098096640.

The previous prime is 997697143279. The next prime is 997697143343. The reversal of 997697143296 is 692341796799.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308978610 + ... + 308981838.

It is an arithmetic number, because the mean of its divisors is an integer number (5498338560).

Almost surely, 2997697143296 is an apocalyptic number.

997697143296 is a gapful number since it is divisible by the number (96) 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 997697143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759468339200).

997697143296 is an abundant number, since it is smaller than the sum of its proper divisors (2521239535104).

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

997697143296 is a wasteful number, since it uses less digits than its factorization.

997697143296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3375 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 997697143296 in words is "nine hundred ninety-seven billion, six hundred ninety-seven million, one hundred forty-three thousand, two hundred ninety-six".