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68407272853830 = 23352391261384047
BaseRepresentation
bin11111000110111010011110…
…01100101101000101000110
322222012200010110111112201000
433203131033030231011012
532431241043322310310
6401253511201114130
720260155664203321
oct1743351714550506
9288180113445630
1068407272853830
111a8843a8174439
127809955328946
132c22a1679b691
1412c6d0303d7b8
157d966bb764c0
hex3e374f32d146

68407272853830 has 128 divisors (see below), whose sum is σ = 183199358361600. Its totient is φ = 18163956972672.

The previous prime is 68407272853807. The next prime is 68407272853859. The reversal of 68407272853830 is 3835827270486.

68407272853830 is a `hidden beast` number, since 6 + 8 + 4 + 0 + 72 + 7 + 28 + 538 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 813874867 + ... + 813958913.

It is an arithmetic number, because the mean of its divisors is an integer number (1431244987200).

Almost surely, 268407272853830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68407272853830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91599679180800).

68407272853830 is an abundant number, since it is smaller than the sum of its proper divisors (114792085507770).

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

68407272853830 is a wasteful number, since it uses less digits than its factorization.

68407272853830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96915 (or 96909 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 68407272853830 in words is "sixty-eight trillion, four hundred seven billion, two hundred seventy-two million, eight hundred fifty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 239 270 478 717 1195 1434 2151 2390 3585 4302 6453 7170 10755 12613 12906 21510 25226 32265 37839 63065 64530 75678 84047 113517 126130 168094 189195 227034 252141 340551 378390 420235 504282 567585 681102 756423 840470 1135170 1260705 1512846 1702755 2269269 2521410 3014507 3405510 3782115 4538538 6029014 7564230 9043521 11346345 15072535 18087042 20087233 22692690 27130563 30145070 40174466 45217605 54261126 60261699 81391689 90435210 100436165 120523398 135652815 162783378 180785097 200872330 271305630 301308495 361570194 406958445 542355291 602616990 813916890 903925485 1060084811 1084710582 1807850970 2120169622 2711776455 3180254433 5300424055 5423552910 6360508866 9540763299 10600848110 15901272165 19081526598 28622289897 31802544330 47703816495 57244579794 95407632990 143111449485 253360269829 286222898970 506720539658 760080809487 1266801349145 1520161618974 2280242428461 2533602698290 3800404047435 4560484856922 6840727285383 7600808094870 11401212142305 13681454570766 22802424284610 34203636426915 68407272853830