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112616146241016 = 2331117231090988009
BaseRepresentation
bin11001100110110001111101…
…011001001000010111111000
3112202201222221212020201022220
4121212301331121020113320
5104230100331414203031
61035303050545044040
732502151041615615
oct3146617531102770
9482658855221286
10112616146241016
113297926a724410
121076991b626620
134aab8706301a2
141db49171d350c
15d0460ecde596
hex666c7d6485f8

112616146241016 has 128 divisors (see below), whose sum is σ = 339340910630400. Its totient is φ = 30722222305280.

The previous prime is 112616146240991. The next prime is 112616146241023. The reversal of 112616146241016 is 610142641616211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545390781 + ... + 545597228.

It is an arithmetic number, because the mean of its divisors is an integer number (2651100864300).

Almost surely, 2112616146241016 is an apocalyptic number.

It is an amenable number.

112616146241016 is an abundant number, since it is smaller than the sum of its proper divisors (226724764389384).

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

112616146241016 is a wasteful number, since it uses less digits than its factorization.

112616146241016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090988069 (or 1090988065 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

Adding to 112616146241016 its reverse (610142641616211), we get a palindrome (722758787857227).

The spelling of 112616146241016 in words is "one hundred twelve trillion, six hundred sixteen billion, one hundred forty-six million, two hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 374 391 408 506 552 561 748 759 782 1012 1122 1173 1496 1518 1564 2024 2244 2346 3036 3128 4301 4488 4692 6072 8602 9384 12903 17204 25806 34408 51612 103224 1090988009 2181976018 3272964027 4363952036 6545928054 8727904072 12000868099 13091856108 18546796153 24001736198 25092724207 26183712216 36002604297 37093592306 48003472396 50185448414 55640388459 72005208594 74187184612 75278172621 96006944792 100370896828 111280776918 144010417188 148374369224 150556345242 200741793656 204014757683 222561553836 276019966277 288020834376 301112690484 408029515366 426576311519 445123107672 552039932554 602225380968 612044273049 816059030732 828059898831 853152623038 1104079865108 1224088546098 1279728934557 1632118061464 1656119797662 1706305246076 2208159730216 2448177092196 2559457869114 3312239595324 3412610492152 4692339426709 4896354184392 5118915738228 6624479190648 9384678853418 10237831476456 14077018280127 18769357706836 28154036560254 37538715413672 56308073120508 112616146241016