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114352806626776 = 231725741924473191
BaseRepresentation
bin11010000000000011010110…
…011010110000010111011000
3112222220000120201011002120001
4122000003112122300113120
5104442024021444024101
61043112542032142344
733041501102416414
oct3200032632602730
9488800521132501
10114352806626776
1133488831195373
12109aa40b6979b4
134ba6567275ac3
1420349c377dd44
15d348a3d19901
hex6800d66b05d8

114352806626776 has 128 divisors (see below), whose sum is σ = 228616228915200. Its totient is φ = 53437158522880.

The previous prime is 114352806626767. The next prime is 114352806626813. The reversal of 114352806626776 is 677626608253411.

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, 35836039341 + ... + 35836042531.

It is an arithmetic number, because the mean of its divisors is an integer number (1786064288400).

Almost surely, 2114352806626776 is an apocalyptic number.

It is an amenable number.

114352806626776 is a deficient number, since it is larger than the sum of its proper divisors (114263422288424).

114352806626776 is a wasteful number, since it uses less digits than its factorization.

114352806626776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 64.

The spelling of 114352806626776 in words is "one hundred fourteen trillion, three hundred fifty-two billion, eight hundred six million, six hundred twenty-six thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 17 34 68 136 257 419 514 838 1028 1676 2056 2447 3191 3352 4369 4894 6382 7123 8738 9788 12764 14246 17476 19576 25528 28492 34952 41599 54247 56984 83198 107683 108494 166396 215366 216988 332792 430732 433976 628879 820087 861464 1025293 1257758 1337029 1640174 1830611 2050586 2515516 2674058 3280348 3661222 4101172 5031032 5348116 6560696 7322444 7808377 8202344 10690943 10696232 13941479 14644888 15616754 17429981 21381886 22729493 27882958 31233508 34859962 42763772 45458986 55765916 62467016 69719924 85527544 90917972 111531832 132742409 139439848 181835944 263500301 265484818 343616453 527000602 530969636 687232906 1054001204 1061939272 1374465812 2006752889 2108002408 2748931624 3271709963 4013505778 4479505117 5841479701 6543419926 8027011556 8959010234 11682959402 13086839852 16054023112 17918020468 23365918804 26173679704 34114799113 35836040936 46731837608 55619069371 68229598226 111238138742 136459196452 222476277484 272918392904 444952554968 840829460491 1681658920982 3363317841964 6726635683928 14294100828347 28588201656694 57176403313388 114352806626776