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133635240216 = 233297710491811
BaseRepresentation
bin111110001110101000…
…1111111000100011000
3110202221021021120201100
41330131101333010120
54142141110141331
6141220254551400
712440414541222
oct1743521770430
9422837246640
10133635240216
1151746677995
1221a96208560
13c7a9072b4a
14667a1cd412
153722086ae6
hex1f1d47f118

133635240216 has 96 divisors (see below), whose sum is σ = 362844846000. Its totient is φ = 44432517120.

The previous prime is 133635240197. The next prime is 133635240283. The reversal of 133635240216 is 612042536331.

133635240216 is a `hidden beast` number, since 1 + 3 + 3 + 635 + 2 + 4 + 0 + 2 + 16 = 666.

133635240216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73789951 + ... + 73791761.

Almost surely, 2133635240216 is an apocalyptic number.

It is an amenable number.

133635240216 is an abundant number, since it is smaller than the sum of its proper divisors (229209605784).

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

133635240216 is a wasteful number, since it uses less digits than its factorization.

133635240216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 133635240216 its reverse (612042536331), we get a palindrome (745677776547).

The spelling of 133635240216 in words is "one hundred thirty-three billion, six hundred thirty-five million, two hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 977 1049 1811 1954 2098 2931 3147 3622 3908 4196 5433 5862 6294 7244 7816 8392 8793 9441 10866 11724 12588 14488 16299 17586 18882 21732 23448 25176 32598 35172 37764 43464 65196 70344 75528 130392 1024873 1769347 1899739 2049746 3074619 3538694 3799478 4099492 5308041 5699217 6149238 7077388 7598956 8198984 9223857 10616082 11398434 12298476 14154776 15197912 15924123 17097651 18447714 21232164 22796868 24596952 31848246 34195302 36895428 42464328 45593736 63696492 68390604 73790856 127392984 136781208 1856045003 3712090006 5568135009 7424180012 11136270018 14848360024 16704405027 22272540036 33408810054 44545080072 66817620108 133635240216