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104554241415 = 325131731339137
BaseRepresentation
bin110000101011111101…
…0110001110110000111
3100222212120020202222200
41201113322301312013
53203111341211130
6120010452125543
710360644250161
oct1412772616607
9328776222880
10104554241415
1140383164088
121831b0068b3
139b231c8050
1450bbc49931
152abde8e760
hex1857eb1d87

104554241415 has 96 divisors (see below), whose sum is σ = 213315088896. Its totient is φ = 46882160640.

The previous prime is 104554241413. The next prime is 104554241419. The reversal of 104554241415 is 514142455401.

104554241415 is a `hidden beast` number, since 104 + 5 + 542 + 4 + 1 + 4 + 1 + 5 = 666.

It is not a de Polignac number, because 104554241415 - 21 = 104554241413 is a prime.

It is a super-2 number, since 2×1045542414152 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104554241415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104554241411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138727 + ... + 477863.

It is an arithmetic number, because the mean of its divisors is an integer number (2222032176).

Almost surely, 2104554241415 is an apocalyptic number.

104554241415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104554241415 is an abundant number, since it is smaller than the sum of its proper divisors (108760847481).

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

104554241415 is a wasteful number, since it uses less digits than its factorization.

104554241415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339209 (or 339206 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 104554241415 its reverse (514142455401), we get a palindrome (618696696816).

The spelling of 104554241415 in words is "one hundred four billion, five hundred fifty-four million, two hundred forty-one thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 17 31 39 45 51 65 85 93 117 153 155 195 221 255 279 403 465 527 585 663 765 1105 1209 1395 1581 1989 2015 2635 3315 3627 4743 6045 6851 7905 9945 18135 20553 23715 34255 61659 102765 308295 339137 1017411 1695685 3052233 4408781 5087055 5765329 10513247 13226343 15261165 17295987 22043905 28826645 31539741 39679029 51887961 52566235 66131715 74949277 86479935 94619223 136672211 157698705 178725199 198395145 224847831 259439805 374746385 410016633 473096115 536175597 674543493 683361055 893625995 1124239155 1230049899 1608526791 2050083165 2323427587 2680877985 3372717465 6150249495 6970282761 8042633955 11617137935 20910848283 34851413805 104554241415