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104334354006525 = 345264218024161
BaseRepresentation
bin10111101110010000111100…
…000110111100000111111101
3111200102021012112001121110000
4113232100330012330013331
5102133403224111202100
61005522312431304513
730655623361255326
oct2756207406740775
9450367175047400
10104334354006525
1130275a50933675
12b85084407b139
13462a8c21b3796
141ba9b49a8344d
15c0de98e13900
hex5ee43c1bc1fd

104334354006525 has 60 divisors (see below), whose sum is σ = 193293412533364. Its totient is φ = 55636315776000.

The previous prime is 104334354006499. The next prime is 104334354006527. The reversal of 104334354006525 is 525600453433401.

104334354006525 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 3 + 43 + 540 + 0 + 65 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23991706885689 + 80342647120836 = 4898133^2 + 8963406^2 .

It is not a de Polignac number, because 104334354006525 - 211 = 104334354004477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104334354006527) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8990445 + ... + 17014605.

Almost surely, 2104334354006525 is an apocalyptic number.

104334354006525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104334354006525 is a deficient number, since it is larger than the sum of its proper divisors (88959058526839).

104334354006525 is an equidigital number, since it uses as much as digits as its factorization.

104334354006525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030604 (or 8030590 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 104334354006525 in words is "one hundred four trillion, three hundred thirty-four billion, three hundred fifty-four million, six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 6421 19263 32105 57789 96315 160525 173367 288945 481575 520101 866835 1444725 2600505 4334175 8024161 13002525 24072483 40120805 72217449 120362415 200604025 216652347 361087245 601812075 649957041 1083261735 1805436225 3249785205 5416308675 16248926025 51523137781 154569413343 257615688905 463708240029 772847066715 1288078444525 1391124720087 2318541200145 3864235333575 4173374160261 6955623600435 11592706000725 20866870801305 34778118002175 104334354006525