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12323857320 = 2333514337963
BaseRepresentation
bin10110111101000111…
…10010001110101000
31011210212111211002000
423132203302032220
5200214401413240
65354515011000
7614253026115
oct133643621650
934725454060
1012323857320
115254550455
12247b299a60
131215296688
1484ca4190c
154c1de3430
hex2de8f23a8

12323857320 has 128 divisors (see below), whose sum is σ = 41113353600. Its totient is φ = 3283656192.

The previous prime is 12323857307. The next prime is 12323857321. The reversal of 12323857320 is 2375832321.

12323857320 is a `hidden beast` number, since 1 + 2 + 32 + 38 + 573 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12323857321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543659 + ... + 1551621.

It is an arithmetic number, because the mean of its divisors is an integer number (321198075).

Almost surely, 212323857320 is an apocalyptic number.

12323857320 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 12323857320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556676800).

12323857320 is an abundant number, since it is smaller than the sum of its proper divisors (28789496280).

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

12323857320 is a wasteful number, since it uses less digits than its factorization.

12323857320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9416 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12323857320 in words is "twelve billion, three hundred twenty-three million, eight hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1433 2866 4299 5732 7165 7963 8598 11464 12897 14330 15926 17196 21495 23889 25794 28660 31852 34392 38691 39815 42990 47778 51588 57320 63704 64485 71667 77382 79630 85980 95556 103176 119445 128970 143334 154764 159260 171960 191112 193455 215001 238890 257940 286668 309528 318520 358335 386910 430002 477780 515880 573336 716670 773820 860004 955560 1075005 1433340 1547640 1720008 2150010 2866680 4300020 8600040 11410979 22821958 34232937 45643916 57054895 68465874 91287832 102698811 114109790 136931748 171164685 205397622 228219580 273863496 308096433 342329370 410795244 456439160 513494055 616192866 684658740 821590488 1026988110 1232385732 1369317480 1540482165 2053976220 2464771464 3080964330 4107952440 6161928660 12323857320