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997170048000 = 2103353747877
BaseRepresentation
bin11101000001010111111…
…01110110110000000000
310112022212111100222011000
432200223331312300000
5112314201013014000
62042032114452000
7132020542362060
oct16405375666000
93468774328130
10997170048000
11354996550095
12141312294000
1373056bb2429
14363986673a0
151ae130b2000
hexe82bf76c00

997170048000 has 1408 divisors, whose sum is σ = 4306536898560. Its totient is φ = 222820761600.

The previous prime is 997170047893. The next prime is 997170048011. The reversal of 997170048000 is 840071799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1137023562 + ... + 1137024438.

Almost surely, 2997170048000 is an apocalyptic number.

997170048000 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 997170048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153268449280).

997170048000 is an abundant number, since it is smaller than the sum of its proper divisors (3309366850560).

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

997170048000 is a wasteful number, since it uses less digits than its factorization.

997170048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 997170048000 in words is "nine hundred ninety-seven billion, one hundred seventy million, forty-eight thousand".