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104332437423741 = 31923241487173291
BaseRepresentation
bin10111101110001111001001…
…110111110000011001111101
3111200102002020221200010010110
4113232033021313300121331
5102133340312440024431
61005521354324300233
730655525026501402
oct2756171167603175
9450362227603113
10104332437423741
1130275157a9165a
12b8503aa241679
13462a6780c5027
141ba9a073002a9
15c0ddd5a2c346
hex5ee3c9df067d

104332437423741 has 96 divisors (see below), whose sum is σ = 157131314887680. Its totient is φ = 61365288441600.

The previous prime is 104332437423713. The next prime is 104332437423791. The reversal of 104332437423741 is 147324734233401.

It is a happy number.

It is not a de Polignac number, because 104332437423741 - 214 = 104332437407357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104332437423791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 601978306 + ... + 602151596.

It is an arithmetic number, because the mean of its divisors is an integer number (1636784530080).

Almost surely, 2104332437423741 is an apocalyptic number.

It is an amenable number.

104332437423741 is a deficient number, since it is larger than the sum of its proper divisors (52798877463939).

104332437423741 is a wasteful number, since it uses less digits than its factorization.

104332437423741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173887 (or 173864 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 104332437423741 in words is "one hundred four trillion, three hundred thirty-two billion, four hundred thirty-seven million, four hundred twenty-three thousand, seven hundred forty-one".

Divisors: 1 3 19 23 41 57 69 123 437 487 529 779 943 1311 1461 1587 2337 2829 9253 10051 11201 17917 19967 21689 27759 30153 33603 53751 59901 65067 173291 212819 257623 379373 412091 459241 519873 638457 772869 1138119 1236273 1377723 3292529 3985693 4894837 7104931 8725579 9877587 10562543 11957079 14684511 21314793 26176737 31687629 75728167 84392717 91670939 134993689 163413413 200688317 227184501 253178151 275012817 404981067 490240239 602064951 1603461623 1741747841 1941032491 3104854847 3460101397 3758508499 4810384869 5225243523 5823097473 9314564541 10380304191 11275525497 36879617329 44643747293 65741926543 71411661481 79582332131 110638851987 133931241879 197225779629 214234984443 238746996393 848231198567 1512064310489 1830393639013 2544693595701 4536192931467 5491180917039 34777479141247 104332437423741