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532260221768 = 2311213121792
BaseRepresentation
bin1111011111011010010…
…11100111001101001000
31212212212010111202222222
413233231023213031020
532210032104044033
61044303355433212
753311622144132
oct7575513471510
91785763452888
10532260221768
11195804023600
12871a4a55808
133b26586b3b2
141ba93904052
15dca2dc2598
hex7bed2e7348

532260221768 has 108 divisors (see below), whose sum is σ = 1111609517235. Its totient is φ = 238748338400.

The previous prime is 532260221761. The next prime is 532260221803. The reversal of 532260221768 is 867122062235.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 266130110884 + 266130110884 = 515878^2 + 515878^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=515878.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (532260221761) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2973520703 + ... + 2973520881.

Almost surely, 2532260221768 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 532260221768

532260221768 is an abundant number, since it is smaller than the sum of its proper divisors (579349295467).

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

532260221768 is a wasteful number, since it uses less digits than its factorization.

532260221768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 532260221768 in words is "five hundred thirty-two billion, two hundred sixty million, two hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 131 179 242 262 358 484 524 716 968 1048 1432 1441 1969 2882 3938 5764 7876 11528 15752 15851 17161 21659 23449 31702 32041 34322 43318 46898 63404 64082 68644 86636 93796 126808 128164 137288 173272 187592 188771 256328 257939 352451 377542 515878 704902 755084 1031756 1409804 1510168 2063512 2076481 2819608 2837329 3071819 3876961 4152962 4197371 5674658 6143638 7753922 8305924 8394742 11349316 12287276 15507844 16611848 16789484 22698632 24574552 31015688 33578968 33790009 46171081 67580018 92342162 135160036 184684324 270320072 369368648 371690099 507881891 549855601 743380198 1015763782 1099711202 1486760396 2031527564 2199422404 2973520792 4063055128 4398844808 6048411611 12096823222 24193646444 48387292888 66532527721 133065055442 266130110884 532260221768