Search a number
-
+
232623011968 = 273126612861
BaseRepresentation
bin1101100010100101101…
…0010111100010000000
3211020102220020101211221
43120221122113202000
512302402442340333
6254510542244424
722543420656034
oct3305132274200
9736386211757
10232623011968
118a722697a16
1239100b86714
1318c22c53559
14b38aa3c1c4
1560b74c6d2d
hex3629697880

232623011968 has 96 divisors (see below), whose sum is σ = 479752280460. Its totient is φ = 112349952000.

The previous prime is 232623011857. The next prime is 232623011983. The reversal of 232623011968 is 869110326232.

It can be written as a sum of positive squares in 2 ways, for example, as 224607749184 + 8015262784 = 473928^2 + 89528^2 .

It is a super-2 number, since 2×2326230119682 (a number of 24 digits) contains 22 as substring.

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, 81306858 + ... + 81309718.

Almost surely, 2232623011968 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 232623011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239876140230).

232623011968 is an abundant number, since it is smaller than the sum of its proper divisors (247129268492).

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

232623011968 is an equidigital number, since it uses as much as digits as its factorization.

232623011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 232623011968 in words is "two hundred thirty-two billion, six hundred twenty-three million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 661 961 992 1322 1922 1984 2644 2861 3844 3968 5288 5722 7688 10576 11444 15376 20491 21152 22888 30752 40982 42304 45776 61504 81964 84608 88691 91552 123008 163928 177382 183104 327856 354764 366208 635221 655712 709528 1270442 1311424 1419056 1891121 2540884 2622848 2749421 2838112 3782242 5081768 5498842 5676224 7564484 10163536 10997684 11352448 15128968 20327072 21995368 30257936 40654144 43990736 58624751 60515872 81308288 87981472 117249502 121031744 175962944 234499004 242063488 351925888 468998008 937996016 1817367281 1875992032 3634734562 3751984064 7269469124 7503968128 14538938248 29077876496 58155752992 116311505984 232623011968