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13230913536 = 211326131171
BaseRepresentation
bin11000101001001111…
…11011100000000000
31021011002022001021200
430110213323200000
5204044103213121
610024520221200
7645605623641
oct142447734000
937132261250
1013230913536
11567a562195
12269300a800
13132b190a29
148d72b76c8
15526865a26
hex3149fb800

13230913536 has 144 divisors (see below), whose sum is σ = 38308331880. Its totient is φ = 4399349760.

The previous prime is 13230913529. The next prime is 13230913541. The reversal of 13230913536 is 63531903231.

13230913536 is a `hidden beast` number, since 1 + 3 + 2 + 30 + 91 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13230913536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11298231 + ... + 11299401.

Almost surely, 213230913536 is an apocalyptic number.

13230913536 is a gapful number since it is divisible by the number (16) 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 13230913536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19154165940).

13230913536 is an abundant number, since it is smaller than the sum of its proper divisors (25077418344).

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

13230913536 is a wasteful number, since it uses less digits than its factorization.

13230913536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 13230913536 in words is "thirteen billion, two hundred thirty million, nine hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 613 768 1024 1152 1171 1226 1536 1839 2048 2304 2342 2452 3072 3513 3678 4608 4684 4904 5517 6144 7026 7356 9216 9368 9808 10539 11034 14052 14712 18432 18736 19616 21078 22068 28104 29424 37472 39232 42156 44136 56208 58848 74944 78464 84312 88272 112416 117696 149888 156928 168624 176544 224832 235392 299776 313856 337248 353088 449664 470784 599552 627712 674496 706176 717823 899328 941568 1199104 1255424 1348992 1412352 1435646 1798656 1883136 2153469 2398208 2697984 2824704 2871292 3597312 3766272 4306938 5395968 5649408 5742584 6460407 7194624 8613876 10791936 11298816 11485168 12920814 17227752 21583872 22970336 25841628 34455504 45940672 51683256 68911008 91881344 103366512 137822016 183762688 206733024 275644032 367525376 413466048 551288064 735050752 826932096 1102576128 1470101504 1653864192 2205152256 3307728384 4410304512 6615456768 13230913536