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104200035544 = 231123614871733
BaseRepresentation
bin110000100001011001…
…1100101110011011000
3100221221212202020212201
41201002303211303120
53201400202114134
6115511400215544
710346113455043
oct1410263456330
9327855666781
10104200035544
1140211226a60
121824046a5b4
139a979cb687
145086ba5c5a
152a9cd24914
hex1842ce5cd8

104200035544 has 128 divisors (see below), whose sum is σ = 226644065280. Its totient is φ = 44444505600.

The previous prime is 104200035479. The next prime is 104200035547. The reversal of 104200035544 is 445530002401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104200035547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60126102 + ... + 60127834.

It is an arithmetic number, because the mean of its divisors is an integer number (1770656760).

Almost surely, 2104200035544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104200035544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113322032640).

104200035544 is an abundant number, since it is smaller than the sum of its proper divisors (122444029736).

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

104200035544 is a wasteful number, since it uses less digits than its factorization.

104200035544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 104200035544 its reverse (445530002401), we get a palindrome (549730037945).

The spelling of 104200035544 in words is "one hundred four billion, two hundred million, thirty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 184 244 253 487 488 506 671 974 1012 1342 1403 1733 1948 2024 2684 2806 3466 3896 5357 5368 5612 6932 10714 11201 11224 13864 15433 19063 21428 22402 29707 30866 38126 39859 42856 44804 59414 61732 76252 79718 89608 105713 118828 123211 123464 152504 159436 211426 237656 246422 318872 326777 422852 438449 492844 653554 683261 843971 845704 876898 985688 1162843 1307108 1366522 1687942 1753796 2325686 2431399 2614216 2733044 3375884 3507592 4651372 4862798 5466088 6751768 7515871 9283681 9302744 9725596 15031742 18567362 19411333 19451192 26745389 30063484 37134724 38822666 51482231 53490778 60126968 74269448 77645332 102964462 106981556 155290664 205928924 213524663 213963112 411857848 427049326 566304541 854098652 1132609082 1184091313 1708197304 2265218164 2368182626 4530436328 4736365252 9472730504 13025004443 26050008886 52100017772 104200035544