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68759852850 = 232521331693709
BaseRepresentation
bin100000000001001101…
…0000001011100110010
320120110222210102210200
41000002122001130302
52111310010242400
651330550140030
74652635051203
oct1000232013462
9216428712720
1068759852850
1127185165177
12113ab651616
13663a537680
1434840355aa
151bc67e4b00
hex1002681732

68759852850 has 144 divisors (see below), whose sum is σ = 199061608200. Its totient is φ = 16915599360.

The previous prime is 68759852807. The next prime is 68759852851. The reversal of 68759852850 is 5825895786.

68759852850 is a `hidden beast` number, since 6 + 8 + 7 + 59 + 8 + 528 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 843844401 + 67916008449 = 29049^2 + 260607^2 .

It is not an unprimeable number, because it can be changed into a prime (68759852851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18536796 + ... + 18540504.

Almost surely, 268759852850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68759852850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99530804100).

68759852850 is an abundant number, since it is smaller than the sum of its proper divisors (130301755350).

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

68759852850 is a wasteful number, since it uses less digits than its factorization.

68759852850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 68759852850 in words is "sixty-eight billion, seven hundred fifty-nine million, eight hundred fifty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 3169 3709 5850 6338 7418 9507 11127 15845 18545 19014 22254 28521 31690 33381 37090 41197 47535 48217 55635 57042 66762 79225 82394 92725 95070 96434 111270 123591 142605 144651 158450 166905 185450 205985 237675 241085 247182 278175 285210 289302 333810 370773 411970 433953 475350 482170 556350 617955 713025 723255 741546 834525 867906 1029925 1205425 1235910 1426050 1446510 1669050 1853865 2059850 2169765 2410850 3089775 3616275 3707730 4339530 6179550 7232550 9269325 10848825 11753821 18538650 21697650 23507642 35261463 58769105 70522926 105784389 117538210 152799673 176307315 211568778 293845525 305599346 352614630 458399019 528921945 587691050 763998365 881536575 916798038 1057843890 1375197057 1527996730 1763073150 2291995095 2644609725 2750394114 3819991825 4583990190 5289219450 6875985285 7639983650 11459975475 13751970570 22919950950 34379926425 68759852850