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68744380672 = 2811127211911
BaseRepresentation
bin100000000000101111…
…1000000000100000000
320120102220200100222001
41000001133000010000
52111242030140142
651325234353344
74652356410622
oct1000137000400
9216386610861
1068744380672
1127177457750
12113a642b854
13663727b136
143481d68c12
151bc528a5b7
hex10017c0100

68744380672 has 144 divisors (see below), whose sum is σ = 151754932224. Its totient is φ = 30820608000.

The previous prime is 68744380637. The next prime is 68744380703. The reversal of 68744380672 is 27608344786.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75459897 + ... + 75460807.

It is an arithmetic number, because the mean of its divisors is an integer number (1053853696).

Almost surely, 268744380672 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 68744380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75877466112).

68744380672 is an abundant number, since it is smaller than the sum of its proper divisors (83010551552).

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

68744380672 is a wasteful number, since it uses less digits than its factorization.

68744380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 55.

The spelling of 68744380672 in words is "sixty-eight billion, seven hundred forty-four million, three hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 211 254 256 352 422 508 704 844 911 1016 1397 1408 1688 1822 2032 2321 2794 2816 3376 3644 4064 4642 5588 6752 7288 8128 9284 10021 11176 13504 14576 16256 18568 20042 22352 26797 27008 29152 32512 37136 40084 44704 53594 54016 58304 74272 80168 89408 107188 115697 116608 148544 160336 178816 192221 214376 231394 233216 294767 297088 320672 357632 384442 428752 462788 589534 594176 641344 768884 857504 925576 1179068 1272667 1282688 1537768 1715008 1851152 2114431 2358136 2545334 2565376 3075536 3430016 3702304 4228862 4716272 5090668 6151072 6860032 7404608 8457724 9432544 10181336 12302144 14809216 16915448 18865088 20362672 24412067 24604288 29618432 33830896 37730176 40725344 48824134 49208576 67661792 75460352 81450688 97648268 135323584 162901376 195296536 268532737 270647168 325802752 390593072 537065474 541294336 781186144 1074130948 1562372288 2148261896 3124744576 4296523792 6249489152 8593047584 17186095168 34372190336 68744380672