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678667164 = 2237232912113
BaseRepresentation
bin101000011100111…
…010001110011100
31202022000212022220
4220130322032130
52342214322124
6151202105340
722550401320
oct5034721634
91668025286
10678667164
113190a975a
1216b34b250
13aa7b0406
14661c3980
153e8ab879
hex2873a39c

678667164 has 96 divisors (see below), whose sum is σ = 1953745920. Its totient is φ = 179063808.

The previous prime is 678667163. The next prime is 678667201. The reversal of 678667164 is 461766876.

678667164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678667163) 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, 49972 + ... + 62084.

It is an arithmetic number, because the mean of its divisors is an integer number (20351520).

Almost surely, 2678667164 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 678667164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976872960).

678667164 is an abundant number, since it is smaller than the sum of its proper divisors (1275078756).

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

678667164 is a wasteful number, since it uses less digits than its factorization.

678667164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12179 (or 12177 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 678667164 is about 26051.2411220656. The cubic root of 678667164 is about 878.7910240542.

The spelling of 678667164 in words is "six hundred seventy-eight million, six hundred sixty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 58 69 84 87 92 116 138 161 174 203 276 322 348 406 483 609 644 667 812 966 1218 1334 1932 2001 2436 2668 4002 4669 8004 9338 12113 14007 18676 24226 28014 36339 48452 56028 72678 84791 145356 169582 254373 278599 339164 351277 508746 557198 702554 835797 1017492 1053831 1114396 1405108 1671594 1950193 2107662 2458939 3343188 3900386 4215324 4917878 5850579 7376817 7800772 8079371 9835756 11701158 14753634 16158742 23402316 24238113 29507268 32317484 48476226 56555597 96952452 113111194 169666791 226222388 339333582 678667164