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45133324432 = 24719124916981
BaseRepresentation
bin101010000010001001…
…111110000010010000
311022111102022102210121
4222002021332002100
51214413112340212
632422311440024
73155305633150
oct520211760220
9138442272717
1045133324432
1118160648729
1288b7086014
134343721b41
142282256760
1512924c6d07
hexa8227e090

45133324432 has 80 divisors (see below), whose sum is σ = 105288400000. Its totient is φ = 18309058560.

The previous prime is 45133324409. The next prime is 45133324433. The reversal of 45133324432 is 23442333154.

It is not an unprimeable number, because it can be changed into a prime (45133324433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649382 + ... + 2666362.

It is an arithmetic number, because the mean of its divisors is an integer number (1316105000).

Almost surely, 245133324432 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 45133324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52644200000).

45133324432 is an abundant number, since it is smaller than the sum of its proper divisors (60155075568).

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

45133324432 is a wasteful number, since it uses less digits than its factorization.

45133324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18264 (or 18258 counting only the distinct ones).

The product of its digits is 103680, while the sum is 34.

Adding to 45133324432 its reverse (23442333154), we get a palindrome (68575657586).

The spelling of 45133324432 in words is "forty-five billion, one hundred thirty-three million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1249 2128 2498 4996 8743 9992 16981 17486 19984 23731 33962 34972 47462 67924 69944 94924 118867 135848 139888 166117 189848 237734 271696 322639 332234 379696 475468 645278 664468 950936 1290556 1328936 1901872 2258473 2581112 2657872 4516946 5162224 9033892 18067784 21209269 36135568 42418538 84837076 148464883 169674152 296929766 339348304 402976111 593859532 805952222 1187719064 1611904444 2375438128 2820832777 3223808888 5641665554 6447617776 11283331108 22566662216 45133324432