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997550150880 = 2535171953731663
BaseRepresentation
bin11101000010000101001…
…11110101010011100000
310112100211222121012021110
432201002213311103200
5112320440314312010
62042133533423320
7132033136243533
oct16410247652340
93470758535243
10997550150880
11355071065aa8
121413b963ab40
13730b787838a
14363d2d2ca1a
151ae36645120
hexe8429f54e0

997550150880 has 768 divisors, whose sum is σ = 3619370926080. Its totient is φ = 229387272192.

The previous prime is 997550150879. The next prime is 997550150887. The reversal of 997550150880 is 88051055799.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 997550150880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997550150887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 599848929 + ... + 599850591.

It is an arithmetic number, because the mean of its divisors is an integer number (4712722560).

Almost surely, 2997550150880 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 997550150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809685463040).

997550150880 is an abundant number, since it is smaller than the sum of its proper divisors (2621820775200).

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

997550150880 is a wasteful number, since it uses less digits than its factorization.

997550150880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 57.

The spelling of 997550150880 in words is "nine hundred ninety-seven billion, five hundred fifty million, one hundred fifty thousand, eight hundred eighty".