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68947677552 = 24313418113323
BaseRepresentation
bin100000000110110011…
…0100001000101110000
320120222002012220212010
41000031212201011300
52112201101140202
651401340002520
74660405406115
oct1001546410560
9216862186763
1068947677552
11272711916a6
1211442530440
13666a41ac50
1434a0d6890c
151bd804676c
hex100d9a1170

68947677552 has 160 divisors (see below), whose sum is σ = 196795904256. Its totient is φ = 20665497600.

The previous prime is 68947677551. The next prime is 68947677569. The reversal of 68947677552 is 25577674986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68947677551) by changing a digit.

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, 20746963 + ... + 20750285.

Almost surely, 268947677552 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 68947677552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98397952128).

68947677552 is an abundant number, since it is smaller than the sum of its proper divisors (127848226704).

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

68947677552 is a wasteful number, since it uses less digits than its factorization.

68947677552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4193 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 66.

The spelling of 68947677552 in words is "sixty-eight billion, nine hundred forty-seven million, six hundred seventy-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 811 984 1066 1599 1622 1968 2132 2433 3198 3244 3323 4264 4866 6396 6488 6646 8528 9732 9969 10543 12792 12976 13292 19464 19938 21086 25584 26584 31629 33251 38928 39876 42172 43199 53168 63258 66502 79752 84344 86398 99753 126516 129597 133004 136243 159504 168688 172796 199506 253032 259194 266008 272486 345592 399012 408729 432263 506064 518388 532016 544972 691184 798024 817458 864526 1036776 1089944 1296789 1596048 1634916 1729052 1771159 2073552 2179888 2593578 2694953 3269832 3458104 3542318 5187156 5313477 5389906 6539664 6916208 7084636 8084859 10374312 10626954 10779812 14169272 16169718 20748624 21253908 21559624 28338544 32339436 35034389 42507816 43119248 64678872 70068778 85015632 105103167 110493073 129357744 140137556 210206334 220986146 280275112 331479219 420412668 441972292 560550224 662958438 840825336 883944584 1325916876 1436409949 1681650672 1767889168 2651833752 2872819898 4309229847 5303667504 5745639796 8618459694 11491279592 17236919388 22982559184 34473838776 68947677552