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1681054635 = 35139119463
BaseRepresentation
bin110010000110010…
…1101101110101011
311100011012102102210
41210030231232223
511420322222020
6434450500203
756441504631
oct14414555653
94304172383
101681054635
11792a03257
123aab94663
1320a3751b0
1411d393351
159c8b03e0
hex6432dbab

1681054635 has 32 divisors (see below), whose sum is σ = 2900072448. Its totient is φ = 826600320.

The previous prime is 1681054631. The next prime is 1681054649. The reversal of 1681054635 is 5364501861.

It is not a de Polignac number, because 1681054635 - 22 = 1681054631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1681054593 and 1681054602.

It is not an unprimeable number, because it can be changed into a prime (1681054631) 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 31 ways as a sum of consecutive naturals, for example, 172914 + ... + 182376.

It is an arithmetic number, because the mean of its divisors is an integer number (90627264).

Almost surely, 21681054635 is an apocalyptic number.

1681054635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1681054635 is a deficient number, since it is larger than the sum of its proper divisors (1219017813).

1681054635 is a wasteful number, since it uses less digits than its factorization.

1681054635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1681054635 is about 41000.6662750741. Note that the first 3 decimals coincide. The cubic root of 1681054635 is about 1189.0330951895.

The spelling of 1681054635 in words is "one billion, six hundred eighty-one million, fifty-four thousand, six hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 195 911 2733 4555 9463 11843 13665 28389 35529 47315 59215 123019 141945 177645 369057 615095 1845285 8620793 25862379 43103965 112070309 129311895 336210927 560351545 1681054635