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104943975192 = 2334747492251
BaseRepresentation
bin110000110111100100…
…1011111101100011000
3101000212201121022020000
41201233021133230120
53204411124201232
6120113253333000
710403416033230
oct1415711375430
9330781538200
10104943975192
1140563157911
1218409637160
139b85b83854
1451178dacc0
152ae32c627c
hex186f25fb18

104943975192 has 160 divisors (see below), whose sum is σ = 343079953920. Its totient is φ = 29345976000.

The previous prime is 104943975133. The next prime is 104943975197. The reversal of 104943975192 is 291579349401.

104943975192 is a `hidden beast` number, since 1 + 0 + 4 + 94 + 39 + 7 + 519 + 2 = 666.

It is a super-2 number, since 2×1049439751922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104943975197) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32934 + ... + 459317.

It is an arithmetic number, because the mean of its divisors is an integer number (2144249712).

Almost surely, 2104943975192 is an apocalyptic number.

104943975192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104943975192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171539976960).

104943975192 is an abundant number, since it is smaller than the sum of its proper divisors (238135978728).

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

104943975192 is a wasteful number, since it uses less digits than its factorization.

104943975192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492323 (or 492310 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 104943975192 in words is "one hundred four billion, nine hundred forty-three million, nine hundred seventy-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 252 282 324 329 376 378 423 504 564 567 648 658 756 846 987 1128 1134 1269 1316 1512 1692 1974 2268 2538 2632 2961 3384 3807 3948 4536 5076 5922 7614 7896 8883 10152 11844 15228 17766 23688 26649 30456 35532 53298 71064 106596 213192 492251 984502 1476753 1969004 2953506 3445757 3938008 4430259 5907012 6891514 8860518 10337271 11814024 13290777 13783028 17721036 20674542 23135797 26581554 27566056 31011813 35442072 39872331 41349084 46271594 53163108 62023626 69407391 79744662 82698168 92543188 93035439 106326216 124047252 138814782 159489324 161950579 185086376 186070878 208222173 248094504 277629564 279106317 318978648 323901158 372141756 416444346 485851737 555259128 558212634 624666519 647802316 744283512 832888692 971703474 1116425268 1249333038 1295604632 1457555211 1665777384 1873999557 1943406948 2232850536 2498666076 2915110422 3747999114 3886813896 4372665633 4997332152 5830220844 7495998228 8745331266 11660441688 13117996899 14991996456 17490662532 26235993798 34981325064 52471987596 104943975192