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688133487996 = 223243907490111
BaseRepresentation
bin10100000001101111111…
…00111011110101111100
32102210012012120010111100
422000313330323311330
542233244133103441
61244042452453100
7100500406065423
oct12006774736574
92383165503440
10688133487996
11245921461589
12b144661a190
134cb76b726c6
142543d3142ba
1512d77403cb6
hexa037f3bd7c

688133487996 has 72 divisors (see below), whose sum is σ = 1781866870784. Its totient is φ = 223795988640.

The previous prime is 688133487989. The next prime is 688133487997. The reversal of 688133487996 is 699784331886.

688133487996 is a `hidden beast` number, since 6 + 8 + 8 + 133 + 487 + 9 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688133487997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1158981 + ... + 1649091.

Almost surely, 2688133487996 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 688133487996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890933435392).

688133487996 is an abundant number, since it is smaller than the sum of its proper divisors (1093733382788).

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

688133487996 is a wasteful number, since it uses less digits than its factorization.

688133487996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491071 (or 491066 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 688133487996 in words is "six hundred eighty-eight billion, one hundred thirty-three million, four hundred eighty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 907 1548 1814 2721 3628 5442 8163 10884 16326 32652 39001 78002 117003 156004 234006 351009 468012 490111 702018 980222 1404036 1470333 1960444 2940666 4410999 5881332 8821998 17643996 21074773 42149546 63224319 84299092 126448638 189672957 252897276 379345914 444530677 758691828 889061354 1333592031 1778122708 2667184062 4000776093 5334368124 8001552186 16003104372 19114819111 38229638222 57344457333 76459276444 114688914666 172033371999 229377829332 344066743998 688133487996