Search a number
-
+
121933944668745 = 325118772027138569
BaseRepresentation
bin11011101110010111110101…
…011101010100001001001001
3120222201202211020212101021100
4123232113311131110021021
5111440231204313344440
61111155403022532013
734453302550505436
oct3356276535241111
9528652736771240
10121933944668745
1135940993a54a40
1211813747437009
135306424864201
1422178c4b76b8d
15e16bad4b8230
hex6ee5f5754249

121933944668745 has 96 divisors (see below), whose sum is σ = 230944451287680. Its totient is φ = 59022518584320.

The previous prime is 121933944668741. The next prime is 121933944668779. The reversal of 121933944668745 is 547866449339121.

121933944668745 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 3 + 3 + 94 + 466 + 8 + 74 + 5 = 666.

It is not a de Polignac number, because 121933944668745 - 22 = 121933944668741 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121933944668741) 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, 879881821 + ... + 880020389.

It is an arithmetic number, because the mean of its divisors is an integer number (2405671367580).

Almost surely, 2121933944668745 is an apocalyptic number.

121933944668745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121933944668745 is a deficient number, since it is larger than the sum of its proper divisors (109010506618935).

121933944668745 is a wasteful number, since it uses less digits than its factorization.

121933944668745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141495 (or 141492 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 121933944668745 in words is "one hundred twenty-one trillion, nine hundred thirty-three billion, nine hundred forty-four million, six hundred sixty-eight thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 877 2027 2631 4385 6081 7893 9647 10135 13155 18243 22297 28941 30405 39465 48235 66891 86823 91215 111485 138569 144705 200673 334455 415707 434115 692845 1003365 1247121 1524259 1777679 2078535 4572777 5333037 6235605 7621295 8888395 13718331 15999111 19554469 22863885 26665185 58663407 68591655 79995555 97772345 121525013 175990221 280879363 293317035 364575039 607625065 842638089 879951105 1093725117 1336775143 1404396815 1822875195 2527914267 3089672993 4010325429 4213190445 5468625585 6683875715 9269018979 12030976287 12639571335 15448364965 20051627145 27807056937 46345094895 60154881435 139035284685 246331201351 738993604053 1231656006755 2216980812159 2709643214861 3694968020265 8128929644583 11084904060795 13548216074305 24386788933749 40644648222915 121933944668745