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678188664 = 233229379857
BaseRepresentation
bin101000011011000…
…101011001111000
31202021010112221200
4220123011121320
52342104014124
6151143534200
722543336266
oct5033053170
91667115850
10678188664
113189021aa
1216b15a360
13aa67368a
14660db436
153e814bc9
hex286c5678

678188664 has 96 divisors (see below), whose sum is σ = 1907334000. Its totient is φ = 217437696.

The previous prime is 678188659. The next prime is 678188671. The reversal of 678188664 is 466881876.

It is a self number, because there is not a number n which added to its sum of digits gives 678188664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790924 + ... + 791780.

Almost surely, 2678188664 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 678188664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953667000).

678188664 is an abundant number, since it is smaller than the sum of its proper divisors (1229145336).

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

678188664 is a wasteful number, since it uses less digits than its factorization.

678188664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 678188664 is about 26042.0556792278. The cubic root of 678188664 is about 878.5844424916.

The spelling of 678188664 in words is "six hundred seventy-eight million, one hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 379 522 696 758 857 1044 1137 1516 1714 2088 2274 2571 3032 3411 3428 4548 5142 6822 6856 7713 9096 10284 10991 13644 15426 20568 21982 24853 27288 30852 32973 43964 49706 61704 65946 74559 87928 98919 99412 131892 149118 197838 198824 223677 263784 298236 324803 395676 447354 596472 649606 791352 894708 974409 1299212 1789416 1948818 2598424 2923227 3897636 5846454 7795272 9419287 11692908 18838574 23385816 28257861 37677148 56515722 75354296 84773583 113031444 169547166 226062888 339094332 678188664