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46820133731781 = 334736895298449
BaseRepresentation
bin10101010010101001010010…
…11100000111110111000101
320010202221221121202211222000
422221110221130013313011
522114100113213404111
6243324512243255513
712601433363206344
oct1251245134076705
9203687847684860
1046820133731781
1113a11341990973
12530208007a599
132018172ba2a87
14b7c16c5a7b5b
15562d7482bc56
hex2a9529707dc5

46820133731781 has 16 divisors (see below), whose sum is σ = 70838973024000. Its totient is φ = 30549307114944.

The previous prime is 46820133731773. The next prime is 46820133731801. The reversal of 46820133731781 is 18713733102864.

46820133731781 is a `hidden beast` number, since 4 + 6 + 8 + 201 + 337 + 31 + 78 + 1 = 666.

46820133731781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46820133731781 - 23 = 46820133731773 is a prime.

It is a super-2 number, since 2×468201337317812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46820133731731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18447647956 + ... + 18447650493.

It is an arithmetic number, because the mean of its divisors is an integer number (4427435814000).

Almost surely, 246820133731781 is an apocalyptic number.

It is an amenable number.

46820133731781 is a deficient number, since it is larger than the sum of its proper divisors (24018839292219).

46820133731781 is a wasteful number, since it uses less digits than its factorization.

46820133731781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36895298505 (or 36895298499 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 46820133731781 in words is "forty-six trillion, eight hundred twenty billion, one hundred thirty-three million, seven hundred thirty-one thousand, seven hundred eighty-one".

Divisors: 1 3 9 27 47 141 423 1269 36895298449 110685895347 332057686041 996173058123 1734079027103 5202237081309 15606711243927 46820133731781