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997026212448 = 253271095638059
BaseRepresentation
bin11101000001000110110…
…01001010101001100000
310112022111110201100212100
432200203121022221200
5112313402202244243
62042005535530400
7132014144655330
oct16404331125140
93468443640770
10997026212448
11354922339332
12141292089a00
1373033161336
14363835050c0
151ae0564e0d3
hexe82364aa60

997026212448 has 288 divisors, whose sum is σ = 3276277804800. Its totient is φ = 281714899968.

The previous prime is 997026212431. The next prime is 997026212489. The reversal of 997026212448 is 844212620799.

It is a happy number.

997026212448 is a `hidden beast` number, since 9 + 9 + 7 + 0 + 2 + 621 + 2 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9970262124482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 997026212394 and 997026212403.

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, 123711843 + ... + 123719901.

It is an arithmetic number, because the mean of its divisors is an integer number (11375964600).

Almost surely, 2997026212448 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 997026212448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638138902400).

997026212448 is an abundant number, since it is smaller than the sum of its proper divisors (2279251592352).

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

997026212448 is a wasteful number, since it uses less digits than its factorization.

997026212448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 997026212448 in words is "nine hundred ninety-seven billion, twenty-six million, two hundred twelve thousand, four hundred forty-eight".