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206403366446112 = 253111301991501223
BaseRepresentation
bin101110111011100100000111…
…010101100110010000100000
31000001210222011111022011100210
4232323210013111212100200
5204023203043302233422
62010552221511214120
761322102556124503
oct5673440725462040
91001728144264323
10206403366446112
115a8481a3485970
121b196431977340
138b229a5535354
1438d7d94b2b13a
1518ce05a24b10c
hexbbb907566420

206403366446112 has 96 divisors (see below), whose sum is σ = 591069119155200. Its totient is φ = 62545952625920.

The previous prime is 206403366446099. The next prime is 206403366446117. The reversal of 206403366446112 is 211644663304602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (206403366446117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136739533 + ... + 138240755.

It is an arithmetic number, because the mean of its divisors is an integer number (6156969991200).

Almost surely, 2206403366446112 is an apocalyptic number.

206403366446112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

206403366446112 is an abundant number, since it is smaller than the sum of its proper divisors (384665752709088).

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

206403366446112 is a wasteful number, since it uses less digits than its factorization.

206403366446112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631446 (or 1631438 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 206403366446112 in words is "two hundred six trillion, four hundred three billion, three hundred sixty-six million, four hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 130199 260398 390597 520796 781194 1041592 1432189 1501223 1562388 2083184 2864378 3002446 3124776 4166368 4296567 4503669 5728756 6004892 6249552 8593134 9007338 11457512 12009784 12499104 16513453 17186268 18014676 22915024 24019568 33026906 34372536 36029352 45830048 48039136 49540359 66053812 68745072 72058704 99080718 132107624 137490144 144117408 198161436 264215248 396322872 528430496 792645744 1585291488 195457733377 390915466754 586373200131 781830933508 1172746400262 1563661867016 2150035067147 2345492800524 3127323734032 4300070134294 4690985601048 6254647468064 6450105201441 8600140268588 9381971202096 12900210402882 17200280537176 18763942404192 25800420805764 34400561074352 51600841611528 68801122148704 103201683223056 206403366446112