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68761019664 = 24331072935077
BaseRepresentation
bin100000000001001111…
…0011110010100010000
320120111001222201101000
41000002132132110100
52111310310112124
651331031142000
74652651011041
oct1000236362420
9216431881330
1068761019664
1127185891887
12113abb14900
13663a8557ac
14348425a8c8
151bc69756c9
hex100279e510

68761019664 has 160 divisors (see below), whose sum is σ = 199933453440. Its totient is φ = 22624178688.

The previous prime is 68761019651. The next prime is 68761019689. The reversal of 68761019664 is 46691016786.

It is a happy number.

68761019664 is a `hidden beast` number, since 6 + 8 + 7 + 610 + 19 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 68761019664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13541094 + ... + 13546170.

It is an arithmetic number, because the mean of its divisors is an integer number (1249584084).

Almost surely, 268761019664 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 68761019664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99966726720).

68761019664 is an abundant number, since it is smaller than the sum of its proper divisors (131172433776).

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

68761019664 is a wasteful number, since it uses less digits than its factorization.

68761019664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 68761019664 in words is "sixty-eight billion, seven hundred sixty-one million, nineteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 293 321 428 432 586 642 856 879 963 1172 1284 1712 1758 1926 2344 2568 2637 2889 3516 3852 4688 5077 5136 5274 5778 7032 7704 7911 10154 10548 11556 14064 15231 15408 15822 20308 21096 23112 30462 31351 31644 40616 42192 45693 46224 60924 62702 63288 81232 91386 94053 121848 125404 126576 137079 182772 188106 243696 250808 274158 282159 365544 376212 501616 543239 548316 564318 731088 752424 846477 1086478 1096632 1128636 1487561 1504848 1629717 1692954 2172956 2193264 2257272 2975122 3259434 3385908 4345912 4462683 4514544 4889151 5950244 6518868 6771816 8691824 8925366 9778302 11900488 13037736 13388049 13543632 14667453 17850732 19556604 23800976 26075472 26776098 29334906 35701464 39113208 40164147 53552196 58669812 71402928 78226416 80328294 107104392 117339624 159169027 160656588 214208784 234679248 318338054 321313176 477507081 636676108 642626352 955014162 1273352216 1432521243 1910028324 2546704432 2865042486 3820056648 4297563729 5730084972 7640113296 8595127458 11460169944 17190254916 22920339888 34380509832 68761019664