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68131537280 = 275571186437
BaseRepresentation
bin111111011100111101…
…001100000110000000
320111212012111200212122
4333130331030012000
52104013133143110
651144343143412
74631235340322
oct773475140600
9214765450778
1068131537280
1126992527404
1211255144b68
13656a306701
1434247db612
151b8b582255
hexfdcf4c180

68131537280 has 64 divisors (see below), whose sum is σ = 163163080080. Its totient is φ = 27204741120.

The previous prime is 68131537193. The next prime is 68131537289. The reversal of 68131537280 is 8273513186.

It is a happy number.

68131537280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68131537289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272222 + ... + 458658.

Almost surely, 268131537280 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 68131537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81581540040).

68131537280 is an abundant number, since it is smaller than the sum of its proper divisors (95031542800).

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

68131537280 is a wasteful number, since it uses less digits than its factorization.

68131537280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187027 (or 187015 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 68131537280 in words is "sixty-eight billion, one hundred thirty-one million, five hundred thirty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 571 640 1142 2284 2855 4568 5710 9136 11420 18272 22840 36544 45680 73088 91360 182720 186437 365440 372874 745748 932185 1491496 1864370 2982992 3728740 5965984 7457480 11931968 14914960 23863936 29829920 59659840 106455527 119319680 212911054 425822108 532277635 851644216 1064555270 1703288432 2129110540 3406576864 4258221080 6813153728 8516442160 13626307456 17032884320 34065768640 68131537280