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1683961347132 = 2232591316052103
BaseRepresentation
bin11000100000010011111…
…010101111110000111100
312221222121011100211122200
4120200103322233300330
5210042223101102012
63325333503511500
7232443063164451
oct30402372576074
95858534324580
101683961347132
1159a189309279
122324432b8590
13c2a48967c2c
145b70b5d7828
152dc0c7403dc
hex18813eafc3c

1683961347132 has 72 divisors (see below), whose sum is σ = 4361872394880. Its totient is φ = 547594188960.

The previous prime is 1683961347119. The next prime is 1683961347137. The reversal of 1683961347132 is 2317431693861.

1683961347132 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 9 + 613 + 4 + 7 + 13 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683961347137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2747808 + ... + 3304295.

It is an arithmetic number, because the mean of its divisors is an integer number (60581561040).

Almost surely, 21683961347132 is an apocalyptic number.

1683961347132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1683961347132 is an abundant number, since it is smaller than the sum of its proper divisors (2677911047748).

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

1683961347132 is a wasteful number, since it uses less digits than its factorization.

1683961347132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052303 (or 6052298 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 1683961347132 in words is "one trillion, six hundred eighty-three billion, nine hundred sixty-one million, three hundred forty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 131 177 236 262 354 393 524 531 708 786 1062 1179 1572 2124 2358 4716 7729 15458 23187 30916 46374 69561 92748 139122 278244 6052103 12104206 18156309 24208412 36312618 54468927 72625236 108937854 217875708 357074077 714148154 792825493 1071222231 1428296308 1585650986 2142444462 2378476479 3171301972 3213666693 4284888924 4756952958 6427333386 7135429437 9513905916 12854666772 14270858874 28541717748 46776704087 93553408174 140330112261 187106816348 280660224522 420990336783 561320449044 841980673566 1683961347132