Search a number
-
+
32543130032 = 247836775171
BaseRepresentation
bin11110010011101110…
…001100000110110000
310002222222122021221022
4132103232030012300
51013122020130112
622541120115012
72231310020060
oct362356140660
9102888567838
1032543130032
111288a826296
126382765a68
1330b821597a
14180a0c53a0
15ca7023d72
hex793b8c1b0

32543130032 has 80 divisors (see below), whose sum is σ = 73049824512. Its totient is φ = 13756005120.

The previous prime is 32543130001. The next prime is 32543130047. The reversal of 32543130032 is 23003134523.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32543129983 and 32543130010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6290807 + ... + 6295977.

Almost surely, 232543130032 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 32543130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36524912256).

32543130032 is an abundant number, since it is smaller than the sum of its proper divisors (40506694480).

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

32543130032 is a wasteful number, since it uses less digits than its factorization.

32543130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 32543130032 its reverse (23003134523), we get a palindrome (55546264555).

The spelling of 32543130032 in words is "thirty-two billion, five hundred forty-three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 677 1162 1328 1354 2324 2708 4648 4739 5171 5416 9296 9478 10342 10832 18956 20684 36197 37912 41368 56191 72394 75824 82736 112382 144788 224764 289576 393337 429193 449528 579152 786674 858386 899056 1573348 1716772 3004351 3146696 3433544 3500767 6008702 6293392 6867088 7001534 12017404 14003068 24034808 24505369 28006136 48069616 49010738 56012272 98021476 196042952 290563661 392085904 581127322 1162254644 2033945627 2324509288 4067891254 4649018576 8135782508 16271565016 32543130032