Search a number
-
+
67998310880 = 25517103924061
BaseRepresentation
bin111111010101000000…
…111110000111100000
320111111220211002121112
4333111000332013200
52103230031422010
651123223442452
74625030051213
oct772500760740
9214456732545
1067998310880
1126924301445
12112185b6428
13654882b516
143410c3b77a
151b7ea17a05
hexfd503e1e0

67998310880 has 96 divisors (see below), whose sum is σ = 170266561920. Its totient is φ = 25573662720.

The previous prime is 67998310871. The next prime is 67998310937. The reversal of 67998310880 is 8801389976.

67998310880 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814050 + ... + 2838110.

It is an arithmetic number, because the mean of its divisors is an integer number (1773610020).

Almost surely, 267998310880 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 67998310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85133280960).

67998310880 is an abundant number, since it is smaller than the sum of its proper divisors (102268251040).

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

67998310880 is a wasteful number, since it uses less digits than its factorization.

67998310880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25132 (or 25124 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 59.

The spelling of 67998310880 in words is "sixty-seven billion, nine hundred ninety-eight million, three hundred ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1039 1360 2078 2720 4156 5195 8312 10390 16624 17663 20780 24061 33248 35326 41560 48122 70652 83120 88315 96244 120305 141304 166240 176630 192488 240610 282608 353260 384976 409037 481220 565216 706520 769952 818074 962440 1413040 1636148 1924880 2045185 2826080 3272296 3849760 4090370 6544592 8180740 13089184 16361480 24999379 32722960 49998758 65445920 99997516 124996895 199995032 249993790 399990064 424989443 499987580 799980128 849978886 999975160 1699957772 1999950320 2124947215 3399915544 3999900640 4249894430 6799831088 8499788860 13599662176 16999577720 33999155440 67998310880