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1676688312 = 233138364747
BaseRepresentation
bin110001111110000…
…0011101110111000
311022211222120222010
41203330003232320
511413213011222
6434213125520
756356421055
oct14374035670
94284876863
101676688312
117904a0822
123a96298a0
132094a6980
1411c97802c
159c2eb80c
hex63f03bb8

1676688312 has 64 divisors (see below), whose sum is σ = 4568618880. Its totient is φ = 509680512.

The previous prime is 1676688301. The next prime is 1676688353. The reversal of 1676688312 is 2138866761.

It is a super-2 number, since 2×16766883122 = 5622567391194818688, which contains 22 as substring.

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 congruent number.

It is an unprimeable number.

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, 6478 + ... + 58269.

It is an arithmetic number, because the mean of its divisors is an integer number (71384670).

Almost surely, 21676688312 is an apocalyptic number.

1676688312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1676688312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284309440).

1676688312 is an abundant number, since it is smaller than the sum of its proper divisors (2891930568).

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

1676688312 is a wasteful number, since it uses less digits than its factorization.

1676688312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64852 (or 64848 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 1676688312 is about 40947.3846783894. The cubic root of 1676688312 is about 1188.0027491462.

The spelling of 1676688312 in words is "one billion, six hundred seventy-six million, six hundred eighty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 664 996 1079 1992 2158 3237 4316 6474 8632 12948 25896 64747 129494 194241 258988 388482 517976 776964 841711 1553928 1683422 2525133 3366844 5050266 5374001 6733688 10100532 10748002 16122003 20201064 21496004 32244006 42992008 64488012 69862013 128976024 139724026 209586039 279448052 419172078 558896104 838344156 1676688312