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1679683712 = 27729127509
BaseRepresentation
bin110010000011101…
…1111000010000000
311100001121202212212
41210013133002000
511414444334322
6434401241252
756424035030
oct14407370200
94301552785
101679683712
11792157263
123aa633228
13209cb51b5
1411d1178c0
159c6de0e2
hex641df080

1679683712 has 128 divisors (see below), whose sum is σ = 3995136000. Its totient is φ = 688214016.

The previous prime is 1679683669. The next prime is 1679683781. The reversal of 1679683712 is 2173869761.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×16796837123 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3299714 + ... + 3300222.

It is an arithmetic number, because the mean of its divisors is an integer number (31212000).

Almost surely, 21679683712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997568000).

1679683712 is an abundant number, since it is smaller than the sum of its proper divisors (2315452288).

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

1679683712 is a wasteful number, since it uses less digits than its factorization.

1679683712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 1679683712 is about 40983.9445636947. The cubic root of 1679683712 is about 1188.7097830455.

The spelling of 1679683712 in words is "one billion, six hundred seventy-nine million, six hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 127 128 203 224 232 254 406 448 464 508 509 812 889 896 928 1016 1018 1624 1778 1856 2032 2036 3248 3556 3563 3683 3712 4064 4072 6496 7112 7126 7366 8128 8144 12992 14224 14252 14732 14761 16256 16288 25781 25984 28448 28504 29464 29522 32576 51562 56896 57008 58928 59044 64643 65152 103124 103327 113792 114016 117856 118088 129286 206248 206654 228032 235712 236176 258572 412496 413308 452501 456064 471424 472352 517144 824992 826616 905002 944704 1034288 1649984 1653232 1810004 1874647 1889408 2068576 3299968 3306464 3620008 3749294 4137152 6612928 7240016 7498588 8274304 13122529 13225856 14480032 14997176 26245058 28960064 29994352 52490116 57920128 59988704 104980232 119977408 209960464 239954816 419920928 839841856 1679683712