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1004253452541 = 32111799895897
BaseRepresentation
bin11101001110100100010…
…10111001100011111101
310120000011011001012110100
432213102022321203331
5112423202340440131
62045203032431313
7132361223334213
oct16472212714375
93500134035410
101004253452541
113579a0990829
1214276a548539
137391556b271
143686b2d4cb3
151b1c9da37e6
hexe9d22b98fd

1004253452541 has 12 divisors (see below), whose sum is σ = 1451886981532. Its totient is φ = 668902919616.

The previous prime is 1004253452519. The next prime is 1004253452563. The reversal of 1004253452541 is 1452543524001.

1004253452541 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 53 + 4 + 525 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (1004253452519) and next prime (1004253452563).

It can be written as a sum of positive squares in 2 ways, for example, as 137159122500 + 867094330041 = 370350^2 + 931179^2 .

It is not a de Polignac number, because 1004253452541 - 25 = 1004253452509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004253452496 and 1004253452505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004253452341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49937896 + ... + 49958001.

Almost surely, 21004253452541 is an apocalyptic number.

It is an amenable number.

1004253452541 is a deficient number, since it is larger than the sum of its proper divisors (447633528991).

1004253452541 is a wasteful number, since it uses less digits than its factorization.

1004253452541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99897020 (or 99897017 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1004253452541 its reverse (1452543524001), we get a palindrome (2456796976542).

The spelling of 1004253452541 in words is "one trillion, four billion, two hundred fifty-three million, four hundred fifty-two thousand, five hundred forty-one".

Divisors: 1 3 9 1117 3351 10053 99895897 299687691 899063073 111583716949 334751150847 1004253452541