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115144352525 = 5242199710973
BaseRepresentation
bin110101100111100100…
…0110110001100001101
3102000012121102011101002
41223033020312030031
53341303423240100
6124521355030045
711214245563526
oct1531710661415
9360177364332
10115144352525
1144917a92324
121a39573b325
13ab2022ac97
1458044dd84d
152edda652d5
hex1acf23630d

115144352525 has 24 divisors (see below), whose sum is σ = 143274744264. Its totient is φ = 91796140800.

The previous prime is 115144352489. The next prime is 115144352567. The reversal of 115144352525 is 525253441511.

It can be written as a sum of positive squares in 12 ways, for example, as 43241538916 + 71902813609 = 207946^2 + 268147^2 .

It is not a de Polignac number, because 115144352525 - 210 = 115144351501 is a prime.

It is a Duffinian number.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 10487939 + ... + 10498911.

It is an arithmetic number, because the mean of its divisors is an integer number (5969781011).

Almost surely, 2115144352525 is an apocalyptic number.

It is an amenable number.

115144352525 is a deficient number, since it is larger than the sum of its proper divisors (28130391739).

115144352525 is a wasteful number, since it uses less digits than its factorization.

115144352525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401 (or 12396 counting only the distinct ones).

The product of its digits is 120000, while the sum is 38.

The spelling of 115144352525 in words is "one hundred fifteen billion, one hundred forty-four million, three hundred fifty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 421 997 2105 4985 10525 10973 24925 54865 274325 419737 2098685 4619633 10493425 10940081 23098165 54700405 115490825 273502025 4605774101 23028870505 115144352525