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269230864961536 = 21244925712
BaseRepresentation
bin111101001101110100110010…
…000100011001000000000000
31022022021012220212222120220221
4331031310302010121000000
5240242034302412232121
62352334541335512424
7110465200550111242
oct7515646204310000
91268235825876827
10269230864961536
1178870194489155
12262428b3b28714
13b72c49165a56a
144a6abb43a8092
15211d4a52c6b41
hexf4dd32119000

269230864961536 has 117 divisors (see below), whose sum is σ = 540544430407233. Its totient is φ = 134080392069120.

The previous prime is 269230864961533. The next prime is 269230864961573. The reversal of 269230864961536 is 635169468032962.

The square root of 269230864961536 is 16408256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 164530492379136 + 104700372582400 = 12826944^2 + 10232320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (269230864961533) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 471507644131 + ... + 471507644701.

Almost surely, 2269230864961536 is an apocalyptic number.

269230864961536 is the 16408256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269230864961536

269230864961536 is an abundant number, since it is smaller than the sum of its proper divisors (271313565445697).

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

269230864961536 is an frugal number, since it uses more digits than its factorization.

269230864961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 70.

The spelling of 269230864961536 in words is "two hundred sixty-nine trillion, two hundred thirty billion, eight hundred sixty-four million, nine hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 449 512 571 898 1024 1142 1796 2048 2284 3592 4096 4568 7184 9136 14368 18272 28736 36544 57472 73088 114944 146176 201601 229888 256379 292352 326041 403202 459776 512758 584704 652082 806404 919552 1025516 1169408 1304164 1612808 1839104 2051032 2338816 2608328 3225616 4102064 5216656 6451232 8204128 10433312 12902464 16408256 20866624 25804928 32816512 41733248 51609856 65633024 83466496 103219712 115114171 131266048 146392409 166932992 206439424 230228342 262532096 292784818 333865984 412878848 460456684 525064192 585569636 667731968 825757696 920913368 1050128384 1171139272 1335463936 1841826736 2342278544 3683653472 4684557088 7367306944 9369114176 14734613888 18738228352 29469227776 37476456704 58938455552 65730191641 74952913408 117876911104 131460383282 149905826816 235753822208 262920766564 299811653632 471507644416 525841533128 599623307264 1051683066256 2103366132512 4206732265024 8413464530048 16826929060096 33653858120192 67307716240384 134615432480768 269230864961536