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10552402320345 = 325461508672081
BaseRepresentation
bin1001100110001110110000…
…1100010001101111011001
31101100210121001122122200100
42121203230030101233121
52340342304443222340
634235412351530013
72136246236526054
oct231435414215731
941323531578610
1010552402320345
1133a9281011386
121225162229909
135b7119964b32
14286a4bb47a9b
1513475b29e830
hex998ec311bd9

10552402320345 has 24 divisors (see below), whose sum is σ = 18330507146952. Its totient is φ = 5615739763200.

The previous prime is 10552402320337. The next prime is 10552402320377. The reversal of 10552402320345 is 54302320425501.

10552402320345 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 402 + 3 + 203 + 45 = 666.

10552402320345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1907514552384 + 8644887767961 = 1381128^2 + 2940219^2 .

It is not a de Polignac number, because 10552402320345 - 23 = 10552402320337 is a prime.

It is a super-2 number, since 2×105524023203452 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254315296 + ... + 254356785.

It is an arithmetic number, because the mean of its divisors is an integer number (763771131123).

Almost surely, 210552402320345 is an apocalyptic number.

10552402320345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10552402320345 is a deficient number, since it is larger than the sum of its proper divisors (7778104826607).

10552402320345 is a wasteful number, since it uses less digits than its factorization.

10552402320345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508672553 (or 508672550 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 10552402320345 its reverse (54302320425501), we get a palindrome (64854722745846).

The spelling of 10552402320345 in words is "ten trillion, five hundred fifty-two billion, four hundred two million, three hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 461 1383 2305 4149 6915 20745 508672081 1526016243 2543360405 4578048729 7630081215 22890243645 234497829341 703493488023 1172489146705 2110480464069 3517467440115 10552402320345