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997465315200 = 27352831279857
BaseRepresentation
bin11101000001111011001…
…00001101011110000000
310112100122001222002121020
432200331210031132000
5112320302110041300
62042121303225440
7132031056200304
oct16407544153600
93470561862536
10997465315200
11355028191772
12141395148280
13730a3113c53
14363c5967d04
151ae2de888a0
hexe83d90d780

997465315200 has 384 divisors, whose sum is σ = 3351505489920. Its totient is φ = 260690411520.

The previous prime is 997465315199. The next prime is 997465315267. The reversal of 997465315200 is 2513564799.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101188672 + ... + 101198528.

It is an arithmetic number, because the mean of its divisors is an integer number (8727878880).

Almost surely, 2997465315200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997465315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675752744960).

997465315200 is an abundant number, since it is smaller than the sum of its proper divisors (2354040174720).

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

997465315200 is a wasteful number, since it uses less digits than its factorization.

997465315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10094 (or 10077 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

Adding to 997465315200 its reverse (2513564799), we get a palindrome (999978879999).

The spelling of 997465315200 in words is "nine hundred ninety-seven billion, four hundred sixty-five million, three hundred fifteen thousand, two hundred".