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802249407712 = 253110757713099
BaseRepresentation
bin10111010110010011100…
…10100111110011100000
32211200202010210111021101
423223021302213303200
5101121001322021322
61412314233004144
7111650326311004
oct13531162476340
92750663714241
10802249407712
1128a260970035
1210b593853654
135a861cb995c
142ab86dc4704
1515d05a1d327
hexbac9ca7ce0

802249407712 has 96 divisors (see below), whose sum is σ = 1648592870400. Its totient is φ = 383861514240.

The previous prime is 802249407683. The next prime is 802249407809. The reversal of 802249407712 is 217704942208.

It is a super-2 number, since 2×8022494077122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61238539 + ... + 61251637.

It is an arithmetic number, because the mean of its divisors is an integer number (17172842400).

Almost surely, 2802249407712 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 802249407712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824296435200).

802249407712 is an abundant number, since it is smaller than the sum of its proper divisors (846343462688).

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

802249407712 is a wasteful number, since it uses less digits than its factorization.

802249407712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13824 (or 13816 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 802249407712 in words is "eight hundred two billion, two hundred forty-nine million, four hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 107 124 214 248 428 496 577 856 992 1154 1712 2308 3317 3424 4616 6634 9232 13099 13268 17887 18464 26198 26536 35774 52396 53072 61739 71548 104792 106144 123478 143096 209584 246956 286192 406069 419168 493912 572384 812138 987824 1401593 1624276 1913909 1975648 2803186 3248552 3827818 5606372 6497104 7558123 7655636 11212744 12994208 15116246 15311272 22425488 30232492 30622544 43449383 44850976 60464984 61245088 86898766 120929968 173797532 234301813 241859936 347595064 468603626 695190128 808719161 937207252 1390380256 1617438322 1874414504 3234876644 3748829008 6469753288 7497658016 12939506576 25070293991 25879013152 50140587982 100281175964 200562351928 401124703856 802249407712