Search a number
-
+
32132344164 = 223171138091723
BaseRepresentation
bin11101111011001111…
…001010100101100100
310001221100200012122220
4131323033022211210
51011301340003124
622432243352340
72215161263454
oct357317124544
9101840605586
1032132344164
1112699963838
1262890826b0
133051098bcb
1417ab713d64
15c80e2e879
hex77b3ca964

32132344164 has 96 divisors (see below), whose sum is σ = 80233856640. Its totient is φ = 9973383168.

The previous prime is 32132344163. The next prime is 32132344169. The reversal of 32132344164 is 46144323123.

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

It is not an unprimeable number, because it can be changed into a prime (32132344163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18648207 + ... + 18649929.

It is an arithmetic number, because the mean of its divisors is an integer number (835769340).

Almost surely, 232132344164 is an apocalyptic number.

32132344164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32132344164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40116928320).

32132344164 is an abundant number, since it is smaller than the sum of its proper divisors (48101512476).

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

32132344164 is a wasteful number, since it uses less digits than its factorization.

32132344164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2667 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 32132344164 its reverse (46144323123), we get a palindrome (78276667287).

The spelling of 32132344164 in words is "thirty-two billion, one hundred thirty-two million, three hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 809 1356 1618 1723 1921 2427 3236 3446 3842 4854 5169 5763 6892 7684 9708 10338 11526 13753 20676 23052 27506 29291 41259 55012 58582 82518 87873 91417 117164 165036 175746 182834 194699 274251 351492 365668 389398 548502 584097 778796 1097004 1168194 1393907 1554089 2336388 2787814 3108178 3309883 4181721 4662267 5575628 6216356 6619766 8363442 9324534 9929649 13239532 16726884 18649068 19859298 23696419 39718596 47392838 71089257 94785676 142178514 157511491 284357028 315022982 472534473 630045964 945068946 1890137892 2677695347 5355390694 8033086041 10710781388 16066172082 32132344164