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1071287223552 = 28347134161227
BaseRepresentation
bin11111001011011011011…
…00011100010100000000
310210102011211220121010000
433211231230130110000
5120022444012123202
62140050443040000
7140253332104020
oct17455554342400
93712154817100
101071287223552
1138336a789087
12153757b10000
137a0392c6920
1439bc9db5a80
151cceed9191c
hexf96db1c500

1071287223552 has 1440 divisors, whose sum is σ = 4111498347264. Its totient is φ = 269932953600.

The previous prime is 1071287223529. The next prime is 1071287223583. The reversal of 1071287223552 is 2553227821701.

It is a happy number.

1071287223552 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 2 + 8 + 72 + 23 + 552 = 666.

It is a super-2 number, since 2×10712872235522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071287223498 and 1071287223507.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 4719326863 + ... + 4719327089.

Almost surely, 21071287223552 is an apocalyptic number.

1071287223552 is a gapful number since it is divisible by the number (12) 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 1071287223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055749173632).

1071287223552 is an abundant number, since it is smaller than the sum of its proper divisors (3040211123712).

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

1071287223552 is a wasteful number, since it uses less digits than its factorization.

1071287223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1071287223552 in words is "one trillion, seventy-one billion, two hundred eighty-seven million, two hundred twenty-three thousand, five hundred fifty-two".