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68770866564 = 22341728572
BaseRepresentation
bin100000000001100010…
…0000010010110000100
320120111202111222210000
41000003010002112010
52111320320212224
651332022201300
74653130502151
oct1000304022604
9216452458700
1068770866564
11271903a7a14
12113b3283230
13663c8c276a
1434856a1228
151bc776d0c9
hex1003102584

68770866564 has 135 divisors (see below), whose sum is σ = 191201143903. Its totient is φ = 21549998592.

The previous prime is 68770866533. The next prime is 68770866587. The reversal of 68770866564 is 46566807786.

The square root of 68770866564 is 262242.

It is a perfect power (a square), and thus also a powerful number.

68770866564 is a `hidden beast` number, since 6 + 8 + 7 + 7 + 0 + 8 + 66 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35850392964 + 32920473600 = 189342^2 + 181440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 80245624 + ... + 80246480.

Almost surely, 268770866564 is an apocalyptic number.

68770866564 is the 262242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68770866564

68770866564 is an abundant number, since it is smaller than the sum of its proper divisors (122430277339).

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

68770866564 is an equidigital number, since it uses as much as digits as its factorization.

68770866564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 68770866564 in words is "sixty-eight billion, seven hundred seventy million, eight hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 857 867 918 1156 1377 1714 1734 1836 2571 2601 2754 3428 3468 5142 5202 5508 7713 7803 10284 10404 14569 15426 15606 23139 23409 29138 30852 31212 43707 46278 46818 58276 69417 87414 92556 93636 131121 138834 174828 247673 262242 277668 393363 495346 524484 734449 743019 786726 990692 1180089 1468898 1486038 1573452 2203347 2229057 2360178 2937796 2972076 4406694 4458114 4720356 6610041 6687171 8813388 8916228 12485633 13220082 13374342 19830123 20061513 24971266 26440164 26748684 37456899 39660246 40123026 49942532 59490369 74913798 79320492 80246052 112370697 118980738 149827596 212255761 224741394 237961476 337112091 424511522 449482788 636767283 674224182 849023044 1011336273 1273534566 1348448364 1910301849 2022672546 2547069132 3820603698 4045345092 5730905547 7641207396 11461811094 17192716641 22923622188 34385433282 68770866564