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68646788200 = 23523715236091
BaseRepresentation
bin111111111011101010…
…101101110001101000
320120012010001011021001
4333323222231301220
52111042034210300
651311430524344
74650063033514
oct777352556150
9216163034231
1068646788200
1127127360011
12113798066b4
13661cc9b403
143473003144
151bbb90e16a
hexffbaadc68

68646788200 has 96 divisors (see below), whose sum is σ = 164051955360. Its totient is φ = 26694662400.

The previous prime is 68646788191. The next prime is 68646788219. The reversal of 68646788200 is 288764686.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11267155 + ... + 11273245.

It is an arithmetic number, because the mean of its divisors is an integer number (1708874535).

Almost surely, 268646788200 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 68646788200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82025977680).

68646788200 is an abundant number, since it is smaller than the sum of its proper divisors (95405167160).

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

68646788200 is a wasteful number, since it uses less digits than its factorization.

68646788200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 68646788200 in words is "sixty-eight billion, six hundred forty-six million, seven hundred eighty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1523 1850 3046 3700 6091 6092 7400 7615 12182 12184 15230 24364 30455 30460 38075 48728 56351 60910 60920 76150 112702 121820 152275 152300 225367 225404 243640 281755 304550 304600 450734 450808 563510 609100 901468 1126835 1127020 1218200 1408775 1802936 2253670 2254040 2817550 4507340 5634175 5635100 9014680 9276593 11268350 11270200 18553186 22536700 37106372 45073400 46382965 74212744 92765930 185531860 231914825 343233941 371063720 463829650 686467882 927659300 1372935764 1716169705 1855318600 2745871528 3432339410 6864678820 8580848525 13729357640 17161697050 34323394100 68646788200