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68820821540 = 225177325111047
BaseRepresentation
bin100000000011000001…
…0100110011000100100
320120122020111222010022
41000012002212120210
52111421112242130
651341005014312
74654305221402
oct1000602463044
9216566458108
1068820821540
1127206617919
1211407b54398
13664a063513
14348c186472
151bcbd397e5
hex10060a6624

68820821540 has 96 divisors (see below), whose sum is σ = 155753466624. Its totient is φ = 25449984000.

The previous prime is 68820821501. The next prime is 68820821561. The reversal of 68820821540 is 4512802886.

It is a junction number, because it is equal to n+sod(n) for n = 68820821491 and 68820821500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6224297 + ... + 6235343.

It is an arithmetic number, because the mean of its divisors is an integer number (1622431944).

Almost surely, 268820821540 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 68820821540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77876733312).

68820821540 is an abundant number, since it is smaller than the sum of its proper divisors (86932645084).

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

68820821540 is a wasteful number, since it uses less digits than its factorization.

68820821540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 68820821540 in words is "sixty-eight billion, eight hundred twenty million, eight hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 251 292 340 365 502 730 1004 1241 1255 1460 2482 2510 4267 4964 5020 6205 8534 11047 12410 17068 18323 21335 22094 24820 36646 42670 44188 55235 73292 85340 91615 110470 183230 187799 220940 311491 366460 375598 622982 751196 806431 938995 1245964 1557455 1612862 1877990 2772797 3114910 3225724 3755980 4032155 5545594 6229820 8064310 11091188 13709327 13863985 16128620 27418654 27727970 47137549 54837308 55455940 68546635 94275098 137093270 188550196 202414181 235687745 274186540 404828362 471375490 809656724 942750980 1012070905 2024141810 3441041077 4048283620 6882082154 13764164308 17205205385 34410410770 68820821540