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1679237868 = 22371110916673
BaseRepresentation
bin110010000010111…
…0010001011101100
311100000210010022010
41210011302023230
511414341102433
6434343521220
756420200140
oct14405621354
94300703263
101679237868
117919822a0
123aa459210
13209b8a299
1411d03d220
159c651e63
hex641722ec

1679237868 has 96 divisors (see below), whose sum is σ = 4930168320. Its totient is φ = 432138240.

The previous prime is 1679237863. The next prime is 1679237869. The reversal of 1679237868 is 8687329761.

It is not an unprimeable number, because it can be changed into a prime (1679237863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92380 + ... + 109052.

It is an arithmetic number, because the mean of its divisors is an integer number (51355920).

Almost surely, 21679237868 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 1679237868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465084160).

1679237868 is an abundant number, since it is smaller than the sum of its proper divisors (3250930452).

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

1679237868 is a wasteful number, since it uses less digits than its factorization.

1679237868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16807 (or 16805 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 1679237868 is about 40978.5049507666. The cubic root of 1679237868 is about 1188.6045993495.

The spelling of 1679237868 in words is "one billion, six hundred seventy-nine million, two hundred thirty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 109 132 154 218 231 308 327 436 462 654 763 924 1199 1308 1526 2289 2398 3052 3597 4578 4796 7194 8393 9156 14388 16673 16786 25179 33346 33572 50019 50358 66692 100038 100716 116711 183403 200076 233422 350133 366806 466844 550209 700266 733612 1100418 1283821 1400532 1817357 2200836 2567642 3634714 3851463 5135284 5452071 7269428 7702926 10904142 12721499 15405852 19990927 21808284 25442998 38164497 39981854 50885996 59972781 76328994 79963708 119945562 139936489 152657988 239891124 279872978 419809467 559745956 839618934 1679237868