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68404040380 = 225133138091039
BaseRepresentation
bin111111101101001100…
…101101001010111100
320112120012021021212001
4333231030231022330
52110042413243010
651231355552044
74641054515104
oct775514551274
9215505237761
1068404040380
112701232aa85
121131045b624
1365b18c7950
14344ca94204
151ba545dc3a
hexfed32d2bc

68404040380 has 96 divisors (see below), whose sum is σ = 155533996800. Its totient is φ = 25120862208.

The previous prime is 68404040351. The next prime is 68404040381. The reversal of 68404040380 is 8304040486.

It is a super-2 number, since 2×684040403802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68404040381) 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, 65835901 + ... + 65836939.

It is an arithmetic number, because the mean of its divisors is an integer number (1620145800).

Almost surely, 268404040380 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 68404040380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77766998400).

68404040380 is an abundant number, since it is smaller than the sum of its proper divisors (87129956420).

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

68404040380 is a wasteful number, since it uses less digits than its factorization.

68404040380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 68404040380 in words is "sixty-eight billion, four hundred four million, forty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 626 809 1039 1252 1565 1618 2078 3130 3236 4045 4069 4156 5195 6260 8090 8138 10390 10517 13507 16180 16276 20345 20780 21034 27014 40690 42068 52585 54028 67535 81380 105170 135070 210340 253217 270140 325207 506434 650414 840551 1012868 1266085 1300828 1626035 1681102 2532170 3252070 3291821 3362204 4202755 4227691 5064340 6504140 6583642 8405510 8455382 10927163 13167284 16459105 16811020 16910764 21138455 21854326 32918210 42276910 43708652 54635815 65836420 84553820 109271630 218543260 263092463 526184926 1052369852 1315462315 2630924630 3420202019 5261849260 6840404038 13680808076 17101010095 34202020190 68404040380