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68363010560 = 295135413797
BaseRepresentation
bin111111101010110000…
…001100001000000000
320112110100001202112002
4333222300030020000
52110001412314220
651223332323132
74640046000455
oct775260141000
9215410052462
1068363010560
1126aa1156739
12112ba7734a8
1365a6260450
14344745382c
151ba1a56c75
hexfeac0c200

68363010560 has 160 divisors (see below), whose sum is σ = 176892396912. Its totient is φ = 25188433920.

The previous prime is 68363010559. The next prime is 68363010563. The reversal of 68363010560 is 6501036386.

It can be written as a sum of positive squares in 8 ways, for example, as 1186664704 + 67176345856 = 34448^2 + 259184^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (68363010563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18002582 + ... + 18006378.

Almost surely, 268363010560 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 68363010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88446198456).

68363010560 is an abundant number, since it is smaller than the sum of its proper divisors (108529386352).

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

68363010560 is a wasteful number, since it uses less digits than its factorization.

68363010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 68363010560 in words is "sixty-eight billion, three hundred sixty-three million, ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 541 640 832 1040 1082 1280 1664 2080 2164 2560 2705 3328 3797 4160 4328 5410 6656 7033 7594 8320 8656 10820 14066 15188 16640 17312 18985 21640 28132 30376 33280 34624 35165 37970 43280 49361 56264 60752 69248 70330 75940 86560 98722 112528 121504 138496 140660 151880 173120 197444 225056 243008 246805 276992 281320 303760 346240 394888 450112 486016 493610 562640 607520 692480 789776 900224 972032 987220 1125280 1215040 1384960 1579552 1800448 1944064 1974440 2054177 2250560 2430080 3159104 3600896 3948880 4108354 4501120 4860160 6318208 7897760 8216708 9002240 9720320 10270885 12636416 15795520 16433416 18004480 20541770 25272832 26704301 31591040 32866832 41083540 53408602 63182080 65733664 82167080 106817204 126364160 131467328 133521505 164334160 213634408 262934656 267043010 328668320 427268816 525869312 534086020 657336640 854537632 1051738624 1068172040 1314673280 1709075264 2136344080 2629346560 3418150528 4272688160 5258693120 6836301056 8545376320 13672602112 17090752640 34181505280 68363010560