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997636036320 = 253257113235361
BaseRepresentation
bin11101000010001111011…
…11011101011011100000
310112101001222012121221200
432201013233131123200
5112321124311130240
62042150242321200
7132035231251440
oct16410757353340
93471058177850
10997636036320
11355105597000
12141422359200
13730cc5b9571
14364004c8120
151ae3de5c930
hexe847bdd6e0

997636036320 has 2304 divisors, whose sum is σ = 4624480014336. Its totient is φ = 191357337600.

The previous prime is 997636036307. The next prime is 997636036433. The reversal of 997636036320 is 23630636799.

997636036320 is a `hidden beast` number, since 9 + 9 + 7 + 6 + 3 + 603 + 6 + 3 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16354689090 + ... + 16354689150.

It is an arithmetic number, because the mean of its divisors is an integer number (2007152784).

Almost surely, 2997636036320 is an apocalyptic number.

997636036320 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 997636036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312240007168).

997636036320 is an abundant number, since it is smaller than the sum of its proper divisors (3626843978016).

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

997636036320 is a wasteful number, since it uses less digits than its factorization.

997636036320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 54.

The spelling of 997636036320 in words is "nine hundred ninety-seven billion, six hundred thirty-six million, thirty-six thousand, three hundred twenty".