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11324024148460 = 22523179827166297
BaseRepresentation
bin1010010011001001010001…
…1011111101000111101100
31111002120021201020220012211
42210302110123331013230
52441013100140222320
640030103533340204
72246063606044102
oct244622433750754
944076251226184
1011324024148460
113676545462561
12132a808937664
13641b0a55570a
142b212b1dbc72
1514986d02955a
hexa4c946fd1ec

11324024148460 has 96 divisors (see below), whose sum is σ = 24983334351360. Its totient is φ = 4303229618688.

The previous prime is 11324024148433. The next prime is 11324024148559. The reversal of 11324024148460 is 6484142042311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68012032 + ... + 68178328.

It is an arithmetic number, because the mean of its divisors is an integer number (260243066160).

Almost surely, 211324024148460 is an apocalyptic number.

11324024148460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324024148460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491667175680).

11324024148460 is an abundant number, since it is smaller than the sum of its proper divisors (13659310202900).

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

11324024148460 is a wasteful number, since it uses less digits than its factorization.

11324024148460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167335 (or 167333 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 11324024148460 in words is "eleven trillion, three hundred twenty-four billion, twenty-four million, one hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 179 230 358 460 716 827 895 1654 1790 3308 3580 4117 4135 8234 8270 16468 16540 19021 20585 38042 41170 76084 82340 95105 148033 166297 190210 296066 332594 380420 592132 665188 740165 831485 1480330 1662970 2960660 3325940 3404759 3824831 6809518 7649662 13619036 15299324 17023795 19124155 29767163 34047590 38248310 59534326 68095180 76496620 119068652 137527619 148835815 275055238 297671630 550110476 595343260 684644749 687638095 1369289498 1375276190 2738578996 2750552380 3163135237 3423223745 6326270474 6846447490 12652540948 13692894980 15815676185 24617443801 31631352370 49234887602 63262704740 98469775204 123087219005 246174438010 492348876020 566201207423 1132402414846 2264804829692 2831006037115 5662012074230 11324024148460