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1004145739325 = 5253275292
BaseRepresentation
bin11101001110010111100…
…00000000011000111101
310112222212122100210200222
432213023300000120331
5112422442302124300
62045144224031125
7132355444645421
oct16471360003075
93488778323628
101004145739325
11357946101243
1214273a4624a5
13738c9156a31
143685ac96b81
151b1c06c8785
hexe9cbc0063d

1004145739325 has 18 divisors (see below), whose sum is σ = 1268680023054. Its totient is φ = 788131044480.

The previous prime is 1004145739309. The next prime is 1004145739339. The reversal of 1004145739325 is 5239375414001.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 295036907929 + 709108831396 = 543173^2 + 842086^2 .

It is not a de Polignac number, because 1004145739325 - 24 = 1004145739309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 36462161 + ... + 36489689.

It is an arithmetic number, because the mean of its divisors is an integer number (70482223503).

Almost surely, 21004145739325 is an apocalyptic number.

It is an amenable number.

1004145739325 is a deficient number, since it is larger than the sum of its proper divisors (264534283729).

1004145739325 is an frugal number, since it uses more digits than its factorization.

1004145739325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55121 (or 27587 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 1004145739325 in words is "one trillion, four billion, one hundred forty-five million, seven hundred thirty-nine thousand, three hundred twenty-five".

Divisors: 1 5 25 53 265 1325 27529 137645 688225 1459037 7295185 36475925 757845841 3789229205 18946146025 40165829573 200829147865 1004145739325