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68066034560 = 275294677853
BaseRepresentation
bin111111011001000011…
…010100001110000000
320111200122020211000222
4333121003110032000
52103344401101220
651134043202212
74626511514306
oct773103241600
9214618224028
1068066034560
1126959558227
1211237216368
136559880bc4
143419c2a276
151b85943e25
hexfd90d4380

68066034560 has 128 divisors (see below), whose sum is σ = 168713344800. Its totient is φ = 26227941376.

The previous prime is 68066034539. The next prime is 68066034571. The reversal of 68066034560 is 6543066086.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×680660345602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 8663594 + ... + 8671446.

Almost surely, 268066034560 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 68066034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84356672400).

68066034560 is an abundant number, since it is smaller than the sum of its proper divisors (100647310240).

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

68066034560 is a wasteful number, since it uses less digits than its factorization.

68066034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 68066034560 in words is "sixty-eight billion, sixty-six million, thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 467 580 640 928 934 1160 1856 1868 2320 2335 3712 3736 4640 4670 7472 7853 9280 9340 13543 14944 15706 18560 18680 27086 29888 31412 37360 39265 54172 59776 62824 67715 74720 78530 108344 125648 135430 149440 157060 216688 227737 251296 270860 298880 314120 433376 455474 502592 541720 628240 866752 910948 1005184 1083440 1138685 1256480 1733504 1821896 2166880 2277370 2512960 3643792 3667351 4333760 4554740 5025920 7287584 7334702 8667520 9109480 14575168 14669404 18218960 18336755 29150336 29338808 36437920 36673510 58677616 72875840 73347020 106353179 117355232 145751680 146694040 212706358 234710464 293388080 425412716 469420928 531765895 586776160 850825432 1063531790 1173552320 1701650864 2127063580 2347104640 3403301728 4254127160 6806603456 8508254320 13613206912 17016508640 34033017280 68066034560