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205363620623136 = 253191071052240227
BaseRepresentation
bin101110101100011011110001…
…101010000011001100100000
3222221010120101211002201201010
4232230123301222003030200
5203404134143334420021
62004434424521540520
761154013651344523
oct5654336152031440
9887116354081633
10205363620623136
115a48724a028998
121b048a19044740
138a78924a5cc81
14389d91bb9cbba
1518b1ea44a9976
hexbac6f1a83320

205363620623136 has 96 divisors (see below), whose sum is σ = 572755400904960. Its totient is φ = 64245579238656.

The previous prime is 205363620623131. The next prime is 205363620623159. The reversal of 205363620623136 is 631326026363502.

205363620623136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 (205363620623131) 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, 525924946 + ... + 526315281.

It is an arithmetic number, because the mean of its divisors is an integer number (5966202092760).

Almost surely, 2205363620623136 is an apocalyptic number.

It is an amenable number.

205363620623136 is an abundant number, since it is smaller than the sum of its proper divisors (367391780281824).

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

205363620623136 is a wasteful number, since it uses less digits than its factorization.

205363620623136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052240366 (or 1052240358 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 48.

Adding to 205363620623136 its reverse (631326026363502), we get a palindrome (836689646986638).

The spelling of 205363620623136 in words is "two hundred five trillion, three hundred sixty-three billion, six hundred twenty million, six hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 107 114 152 214 228 304 321 428 456 608 642 856 912 1284 1712 1824 2033 2568 3424 4066 5136 6099 8132 10272 12198 16264 24396 32528 48792 65056 97584 195168 1052240227 2104480454 3156720681 4208960908 6313441362 8417921816 12626882724 16835843632 19992564313 25253765448 33671687264 39985128626 50507530896 59977692939 79970257252 101015061792 112589704289 119955385878 159940514504 225179408578 239910771756 319881029008 337769112867 450358817156 479821543512 639762058016 675538225734 900717634312 959643087024 1351076451468 1801435268624 1919286174048 2139204381491 2702152902936 3602870537248 4278408762982 5404305805872 6417613144473 8556817525964 10808611611744 12835226288946 17113635051928 25670452577892 34227270103856 51340905155784 68454540207712 102681810311568 205363620623136