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268439905454136 = 2331347103177728633
BaseRepresentation
bin111101000010010100001001…
…001101010100100000111000
31022012110121022120010110100120
4331002110021031110200320
5240141104411244013021
62350531331244333240
7110354100050166423
oct7502241115244070
91265417276113316
10268439905454136
11785957a7462349
1226135551244220
13b6a2a0b66acc0
144a407bc9989ba
152107b10a0e2c6
hexf42509354838

268439905454136 has 128 divisors (see below), whose sum is σ = 745265926379520. Its totient is φ = 80054663169024.

The previous prime is 268439905454113. The next prime is 268439905454221. The reversal of 268439905454136 is 631454509934862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87353925 + ... + 90374708.

It is an arithmetic number, because the mean of its divisors is an integer number (5822390049840).

Almost surely, 2268439905454136 is an apocalyptic number.

268439905454136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

268439905454136 is an abundant number, since it is smaller than the sum of its proper divisors (476826020925384).

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

268439905454136 is a wasteful number, since it uses less digits than its factorization.

268439905454136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177728805 (or 177728801 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 69.

The spelling of 268439905454136 in words is "two hundred sixty-eight trillion, four hundred thirty-nine billion, nine hundred five million, four hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 103 104 141 156 188 206 282 309 312 376 412 564 611 618 824 1128 1222 1236 1339 1833 2444 2472 2678 3666 4017 4841 4888 5356 7332 8034 9682 10712 14523 14664 16068 19364 29046 32136 38728 58092 62933 116184 125866 188799 251732 377598 503464 755196 1510392 177728633 355457266 533185899 710914532 1066371798 1421829064 2132743596 2310472229 4265487192 4620944458 6931416687 8353245751 9241888916 13862833374 16706491502 18306049199 18483777832 25059737253 27725666748 33412983004 36612098398 50119474506 54918147597 55451333496 66825966008 73224196796 100238949012 108592194763 109836295194 146448393592 200477898024 217184389526 219672590388 237978639587 325776584289 434368779052 439345180776 475957279174 651553168578 713935918761 860384312353 868737558104 951914558348 1303106337156 1427871837522 1720768624706 1903829116696 2581152937059 2606212674312 2855743675044 3441537249412 5162305874118 5711487350088 6883074498824 10324611748236 11184996060589 20649223496472 22369992121178 33554988181767 44739984242356 67109976363534 89479968484712 134219952727068 268439905454136