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1681624553 = 72341254753
BaseRepresentation
bin110010000111011…
…1000110111101001
311100012021101012212
41210032320313221
511420443441203
6434511014505
756446400330
oct14416706751
94305241185
101681624553
11793262464
123ab20a435
1320a51471b
1411d4a0d17
159c9741d8
hex643b8de9

1681624553 has 16 divisors (see below), whose sum is σ = 2054336256. Its totient is φ = 1345090560.

The previous prime is 1681624541. The next prime is 1681624559. The reversal of 1681624553 is 3554261861.

It is a cyclic number.

It is not a de Polignac number, because 1681624553 - 26 = 1681624489 is a prime.

It is a super-2 number, since 2×16816245532 = 5655722274504899618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 1681624553.

It is not an unprimeable number, because it can be changed into a prime (1681624559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120776 + ... + 133977.

It is an arithmetic number, because the mean of its divisors is an integer number (128396016).

Almost surely, 21681624553 is an apocalyptic number.

It is an amenable number.

1681624553 is a deficient number, since it is larger than the sum of its proper divisors (372711703).

1681624553 is a wasteful number, since it uses less digits than its factorization.

1681624553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254824.

The product of its digits is 172800, while the sum is 41.

The square root of 1681624553 is about 41007.6157926793. The cubic root of 1681624553 is about 1189.1674502909.

The spelling of 1681624553 in words is "one billion, six hundred eighty-one million, six hundred twenty-four thousand, five hundred fifty-three".

Divisors: 1 7 23 41 161 287 943 6601 254753 1783271 5859319 10444873 41015233 73114111 240232079 1681624553