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45412221150 = 232524113031889
BaseRepresentation
bin101010010010110001…
…111000000011011110
311100012212002212011200
4222102301320003132
51221001012034100
632510113300330
73165233340132
oct522261700336
9140185085150
1045412221150
111829401898a
1289745646a6
13438944129a
1422ab2d53c2
1512abc17e00
hexa92c780de

45412221150 has 144 divisors (see below), whose sum is σ = 125145427680. Its totient is φ = 11799244800.

The previous prime is 45412221149. The next prime is 45412221199. The reversal of 45412221150 is 5112221454.

It is a happy number.

45412221150 is a `hidden beast` number, since 4 + 541 + 2 + 2 + 2 + 115 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 24039406 + ... + 24041294.

It is an arithmetic number, because the mean of its divisors is an integer number (869065470).

Almost surely, 245412221150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45412221150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62572713840).

45412221150 is an abundant number, since it is smaller than the sum of its proper divisors (79733206530).

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

45412221150 is a wasteful number, since it uses less digits than its factorization.

45412221150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 45412221150 in words is "forty-five billion, four hundred twelve million, two hundred twenty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1303 1845 1889 2050 2606 3075 3690 3778 3909 5667 6150 6515 7818 9225 9445 11334 11727 13030 17001 18450 18890 19545 23454 28335 32575 34002 39090 47225 53423 56670 58635 65150 77449 85005 94450 97725 106846 117270 141675 154898 160269 170010 195450 232347 267115 283350 293175 320538 387245 425025 464694 480807 534230 586350 697041 774490 801345 850050 961614 1161735 1335575 1394082 1602690 1936225 2323470 2404035 2461367 2671150 3485205 3872450 4006725 4808070 4922734 5808675 6970410 7384101 8013450 11617350 12020175 12306835 14768202 17426025 22152303 24040350 24613670 34852050 36920505 44304606 61534175 73841010 100916047 110761515 123068350 184602525 201832094 221523030 302748141 369205050 504580235 553807575 605496282 908244423 1009160470 1107615150 1513740705 1816488846 2522901175 3027481410 4541222115 5045802350 7568703525 9082444230 15137407050 22706110575 45412221150