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107294546851992 = 2332223252735683
BaseRepresentation
bin11000011001010101110101…
…010110011111100010011000
3112001220020222110010220122100
4120121111311112133202120
5103030403212443230432
61020110233453323400
731412526615300333
oct3031256526374230
9461806873126570
10107294546851992
11312073a8597a25
121004a49a796560
1347b3aa88b1a76
141c6d125c4b61a
15c60e9da6507c
hex61957559f898

107294546851992 has 144 divisors (see below), whose sum is σ = 292005062982360. Its totient is φ = 35591452344576.

The previous prime is 107294546851991. The next prime is 107294546852029. The reversal of 107294546851992 is 299158645492701.

107294546851992 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 9 + 45 + 4 + 68 + 519 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 107294546851992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107294546851991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18879910383 + ... + 18879916065.

Almost surely, 2107294546851992 is an apocalyptic number.

107294546851992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107294546851992 is an abundant number, since it is smaller than the sum of its proper divisors (184710516130368).

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

107294546851992 is a wasteful number, since it uses less digits than its factorization.

107294546851992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 107294546851992 in words is "one hundred seven trillion, two hundred ninety-four billion, five hundred forty-six million, eight hundred fifty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 4014 5273 5352 5683 8028 10546 11366 15819 16056 17049 21092 22732 31638 34098 42184 45464 47457 49729 51147 63276 68196 94914 99458 102294 126552 136392 149187 189828 198916 204588 298374 379656 397832 409176 447561 596748 895122 1175879 1193496 1267309 1790244 2351758 2534618 3527637 3580488 3801927 4703516 5069236 7055274 7603854 9407032 10138472 10582911 11405781 14110548 15207708 21165822 22811562 28221096 29966459 30415416 42331644 45623124 59932918 84663288 89899377 91246248 119865836 179798754 239731672 262221017 269698131 282609907 359597508 524442034 539396262 565219814 719195016 786663051 847829721 1048884068 1078792524 1130439628 1573326102 1695659442 2097768136 2157585048 2260879256 2359989153 2543489163 3146652204 3391318884 4719978306 5086978326 6293304408 6682520357 6782637768 9439956612 10173956652 13365040714 18879913224 20047561071 20347913304 26730081428 40095122142 53460162856 60142683213 80190244284 120285366426 160380488568 240570732852 481141465704 1490202039611 2980404079222 4470606118833 5960808158444 8941212237666 11921616316888 13411818356499 17882424475332 26823636712998 35764848950664 53647273425996 107294546851992