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11328867757914 = 2374123944816143
BaseRepresentation
bin1010010011011011010100…
…1000110110111101011010
31111010000210021100202021120
42210312311020312331122
52441103010121223124
640032224320550110
72246324622044340
oct244666510667532
944100707322246
1011328867757914
113678600562a83
12132b73aa82336
136423ccb88705
142b246a5cd990
15149a5338cd79
hexa4db5236f5a

11328867757914 has 128 divisors (see below), whose sum is σ = 26647398973440. Its totient is φ = 3143446118400.

The previous prime is 11328867757913. The next prime is 11328867757967. The reversal of 11328867757914 is 41975776882311.

It is not an unprimeable number, because it can be changed into a prime (11328867757913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1844188327 + ... + 1844194469.

It is an arithmetic number, because the mean of its divisors is an integer number (208182804480).

Almost surely, 211328867757914 is an apocalyptic number.

11328867757914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11328867757914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323699486720).

11328867757914 is an abundant number, since it is smaller than the sum of its proper divisors (15318531215526).

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

11328867757914 is a wasteful number, since it uses less digits than its factorization.

11328867757914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916.

The product of its digits is 142248960, while the sum is 69.

The spelling of 11328867757914 in words is "eleven trillion, three hundred twenty-eight billion, eight hundred sixty-seven million, seven hundred fifty-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 239 246 287 478 574 717 861 1434 1673 1722 3346 4481 5019 6143 8962 9799 10038 12286 13443 18429 19598 26886 29397 31367 36858 43001 58794 62734 68593 86002 94101 129003 137186 183721 188202 205779 251863 258006 367442 411558 503726 551163 755589 1070959 1102326 1286047 1468177 1511178 1763041 2141918 2572094 2936354 3212877 3526082 3858141 4404531 5289123 6425754 7496713 7716282 8809062 10277239 10578246 14993426 20554478 22490139 27526783 30831717 43909319 44980278 55053566 60195257 61663434 82580349 87818638 120390514 131727957 165160698 180585771 192687481 263455914 307365233 361171542 385374962 421366799 578062443 614730466 842733598 922095699 1128598103 1156124886 1264100397 1844191398 2257196206 2528200794 3385794309 6578901137 6771588618 7900186721 13157802274 15800373442 19736703411 23700560163 39473406822 46052307959 47401120326 92104615918 138156923877 269734946617 276313847754 539469893234 809204839851 1618409679702 1888144626319 3776289252638 5664433878957 11328867757914