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45320354010 = 23351927533209
BaseRepresentation
bin101010001101010011…
…011011100011011010
311022222110020112011000
4222031103123203122
51220304002312020
632453032245430
73163036436661
oct521523334332
9138873215130
1045320354010
1118247181828
128949840876
1343733b7529
14229d01ddd8
1512a3b1d090
hexa8d4db8da

45320354010 has 128 divisors (see below), whose sum is σ = 127300896000. Its totient is φ = 11441627136.

The previous prime is 45320353973. The next prime is 45320354017. The reversal of 45320354010 is 1045302354.

45320354010 is a `hidden beast` number, since 4 + 53 + 203 + 5 + 401 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45320354017) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14121286 + ... + 14124494.

It is an arithmetic number, because the mean of its divisors is an integer number (994538250).

Almost surely, 245320354010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45320354010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63650448000).

45320354010 is an abundant number, since it is smaller than the sum of its proper divisors (81980541990).

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

45320354010 is a wasteful number, since it uses less digits than its factorization.

45320354010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 45320354010 its reverse (1045302354), we get a palindrome (46365656364).

The spelling of 45320354010 in words is "forty-five billion, three hundred twenty million, three hundred fifty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 2753 3209 5130 5506 6418 8259 9627 13765 16045 16518 19254 24777 27530 28881 32090 41295 48135 49554 52307 57762 60971 74331 82590 86643 96270 104614 121942 123885 144405 148662 156921 173286 182913 247770 261535 288810 304855 313842 365826 371655 433215 470763 523070 548739 609710 743310 784605 866430 914565 941526 1097478 1412289 1569210 1646217 1829130 2353815 2743695 2824578 3292434 4707630 5487390 7061445 8231085 8834377 14122890 16462170 17668754 26503131 44171885 53006262 79509393 88343770 132515655 159018786 167853163 238528179 265031310 335706326 397546965 477056358 503559489 795093930 839265815 1007118978 1192640895 1510678467 1678531630 2385281790 2517797445 3021356934 4532035401 5035594890 7553392335 9064070802 15106784670 22660177005 45320354010