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68068762128 = 243489590137
BaseRepresentation
bin111111011001001101…
…101110001000010000
320111200211101101120000
4333121031232020100
52103401100342003
651134221450000
74626543634353
oct773115561020
9214624341500
1068068762128
1126960050514
1211238110900
13655a2c7553
14341a33a29a
151b85cd21a3
hexfd936e210

68068762128 has 100 divisors (see below), whose sum is σ = 199224687420. Its totient is φ = 22434610176.

The previous prime is 68068762121. The next prime is 68068762133. The reversal of 68068762128 is 82126786086.

68068762128 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 8 + 7 + 621 + 2 + 8 = 666.

68068762128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8984764944 + 59083997184 = 94788^2 + 243072^2 .

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

It is not an unprimeable number, because it can be changed into a prime (68068762121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179725 + ... + 410412.

Almost surely, 268068762128 is an apocalyptic number.

It is an amenable number.

68068762128 is an abundant number, since it is smaller than the sum of its proper divisors (131155925292).

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

68068762128 is a wasteful number, since it uses less digits than its factorization.

68068762128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590246 (or 590231 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 68068762128 in words is "sixty-eight billion, sixty-eight million, seven hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 267 324 356 432 534 648 712 801 1068 1296 1424 1602 2136 2403 3204 4272 4806 6408 7209 9612 12816 14418 19224 28836 38448 57672 115344 590137 1180274 1770411 2360548 3540822 4721096 5311233 7081644 9442192 10622466 14163288 15933699 21244932 28326576 31867398 42489864 47801097 52522193 63734796 84979728 95602194 105044386 127469592 157566579 191204388 210088772 254939184 315133158 382408776 420177544 472699737 630266316 764817552 840355088 945399474 1260532632 1418099211 1890798948 2521065264 2836198422 3781597896 4254297633 5672396844 7563195792 8508595266 11344793688 17017190532 22689587376 34034381064 68068762128