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1005145113054 = 231036172636059
BaseRepresentation
bin11101010000001110101…
…00010100000111011110
310120002110021212020201210
432220013110110013132
5112432014122104204
62045431324045250
7132422301330435
oct16500724240736
93502407766653
101005145113054
11358309237545
12142979093826
1373a28204b34
14369138c011c
151b22d2d4389
hexea075141de

1005145113054 has 32 divisors (see below), whose sum is σ = 2033098179840. Its totient is φ = 331257592512.

The previous prime is 1005145113053. The next prime is 1005145113083. The reversal of 1005145113054 is 4503115415001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005145113053) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 936724 + ... + 1699335.

It is an arithmetic number, because the mean of its divisors is an integer number (63534318120).

Almost surely, 21005145113054 is an apocalyptic number.

1005145113054 is an abundant number, since it is smaller than the sum of its proper divisors (1027953066786).

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

1005145113054 is a wasteful number, since it uses less digits than its factorization.

1005145113054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636784.

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 1005145113054 in words is "one trillion, five billion, one hundred forty-five million, one hundred thirteen thousand, fifty-four".

Divisors: 1 2 3 6 103 206 309 617 618 1234 1851 3702 63551 127102 190653 381306 2636059 5272118 7908177 15816354 271514077 543028154 814542231 1626448403 1629084462 3252896806 4879345209 9758690418 167524185509 335048371018 502572556527 1005145113054