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1683676380673 = 76716272206471
BaseRepresentation
bin11000100000000010111…
…011101011111000000001
312221221212022011001011101
4120200002323223320001
5210041132123140143
63325245324014401
7232433033050450
oct30400273537001
95857768131141
101683676380673
1159a052472801
12232383991401
13c2a01901b21
145b6c1818b97
152dbe2700b4d
hex18802eebe01

1683676380673 has 16 divisors (see below), whose sum is σ = 1954122210304. Its totient is φ = 1420737207120.

The previous prime is 1683676380667. The next prime is 1683676380719. The reversal of 1683676380673 is 3760836763861.

It is a de Polignac number, because none of the positive numbers 2k-1683676380673 is a prime.

It is a super-2 number, since 2×16836763806732 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1683676300673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340173 + ... + 1866298.

It is an arithmetic number, because the mean of its divisors is an integer number (122132638144).

Almost surely, 21683676380673 is an apocalyptic number.

It is an amenable number.

1683676380673 is a deficient number, since it is larger than the sum of its proper divisors (270445829631).

1683676380673 is a wasteful number, since it uses less digits than its factorization.

1683676380673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208172.

The product of its (nonzero) digits is 109734912, while the sum is 64.

The spelling of 1683676380673 in words is "one trillion, six hundred eighty-three billion, six hundred seventy-six million, three hundred eighty thousand, six hundred seventy-three".

Divisors: 1 7 67 469 1627 11389 109009 763063 2206471 15445297 147833557 1034834899 3589928317 25129498219 240525197239 1683676380673