Search a number
-
+
8432112432 = 24323113257263
BaseRepresentation
bin1111101101001011…
…11101001100110000
3210202122111200201110
413312211331030300
5114232110044212
63512413233320
7415645526112
oct76645751460
923678450643
108432112432
113637786967
121773a92840
13a44c19053
1459dc2b3b2
15345403a3c
hex1f697d330

8432112432 has 160 divisors (see below), whose sum is σ = 23107949568. Its totient is φ = 2644246528.

The previous prime is 8432112419. The next prime is 8432112443. The reversal of 8432112432 is 2342112348.

It is a super-2 number, since 2×84321124322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8432112432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32061133 + ... + 32061395.

Almost surely, 28432112432 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 8432112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553974784).

8432112432 is an abundant number, since it is smaller than the sum of its proper divisors (14675837136).

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

8432112432 is a wasteful number, since it uses less digits than its factorization.

8432112432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 8432112432 is about 91826.5344658068. The cubic root of 8432112432 is about 2035.3798132396.

The spelling of 8432112432 in words is "eight billion, four hundred thirty-two million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 113 138 184 226 257 263 276 339 368 452 514 526 552 678 771 789 904 1028 1052 1104 1356 1542 1578 1808 2056 2104 2599 2712 3084 3156 4112 4208 5198 5424 5911 6049 6168 6312 7797 10396 11822 12098 12336 12624 15594 17733 18147 20792 23644 24196 29041 29719 31188 35466 36294 41584 47288 48392 58082 59438 62376 67591 70932 72588 87123 89157 94576 96784 116164 118876 124752 135182 141864 145176 174246 178314 202773 232328 237752 270364 283728 290352 348492 356628 405546 464656 475504 540728 667943 683537 696984 713256 811092 1081456 1335886 1367074 1393968 1426512 1554593 1622184 2003829 2050611 2671772 2734148 3109186 3244368 4007658 4101222 4663779 5343544 5468296 6218372 7637783 8015316 8202444 9327558 10687088 10936592 12436744 15275566 16030632 16404888 18655116 22913349 24873488 30551132 32061264 32809776 37310232 45826698 61102264 74620464 91653396 122204528 175669009 183306792 351338018 366613584 527007027 702676036 1054014054 1405352072 2108028108 2810704144 4216056216 8432112432