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997090119936 = 28327122932
BaseRepresentation
bin11101000001001110011…
…00111101000100000000
310112022122220222012110100
432200213030331010000
5112314020032314221
62042020141402400
7132015552115461
oct16404714750400
93468586865410
10997090119936
11354955418a39
121412ab569400
1373043478a11
143638bbbcd68
151ae0b074926
hexe82733d100

997090119936 has 243 divisors, whose sum is σ = 2925903763237. Its totient is φ = 326563829760.

The previous prime is 997090119853. The next prime is 997090119947. The reversal of 997090119936 is 639911090799.

The square root of 997090119936 is 998544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 943384838400 + 53705281536 = 971280^2 + 231744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3403037806 + ... + 3403038098.

Almost surely, 2997090119936 is an apocalyptic number.

997090119936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

997090119936 is the 998544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997090119936

997090119936 is an abundant number, since it is smaller than the sum of its proper divisors (1928813643301).

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

997090119936 is an frugal number, since it uses more digits than its factorization.

997090119936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7440174, while the sum is 63.

The spelling of 997090119936 in words is "nine hundred ninety-seven billion, ninety million, one hundred nineteen thousand, nine hundred thirty-six".