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1332550512 = 243241792857
BaseRepresentation
bin100111101101101…
…0001101101110000
310102212102120122200
41033123101231300
510212113104022
6340121103200
745010330626
oct11733215560
93385376580
101332550512
1162420aa17
12312327b00
131830c3b37
14c8d95516
157bebebac
hex4f6d1b70

1332550512 has 120 divisors (see below), whose sum is σ = 3869960640. Its totient is φ = 427714560.

The previous prime is 1332550511. The next prime is 1332550537. The reversal of 1332550512 is 2150552331.

It is a happy number.

1332550512 is a `hidden beast` number, since 133 + 25 + 505 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332550511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 464988 + ... + 467844.

It is an arithmetic number, because the mean of its divisors is an integer number (32249672).

Almost surely, 21332550512 is an apocalyptic number.

1332550512 is a gapful number since it is divisible by the number (12) 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 1332550512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934980320).

1332550512 is an abundant number, since it is smaller than the sum of its proper divisors (2537410128).

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

1332550512 is a wasteful number, since it uses less digits than its factorization.

1332550512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1332550512 is about 36504.1163706232. The cubic root of 1332550512 is about 1100.4269725383.

The spelling of 1332550512 in words is "one billion, three hundred thirty-two million, five hundred fifty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 79 82 123 144 158 164 237 246 316 328 369 474 492 632 656 711 738 948 984 1264 1422 1476 1896 1968 2844 2857 2952 3239 3792 5688 5714 5904 6478 8571 9717 11376 11428 12956 17142 19434 22856 25713 25912 29151 34284 38868 45712 51426 51824 58302 68568 77736 102852 116604 117137 137136 155472 205704 225703 233208 234274 351411 411408 451406 466416 468548 677109 702822 902812 937096 1054233 1354218 1405644 1805624 1874192 2031327 2108466 2708436 2811288 3611248 4062654 4216932 5416872 5622576 8125308 8433864 9253823 10833744 16250616 16867728 18507646 27761469 32501232 37015292 55522938 74030584 83284407 111045876 148061168 166568814 222091752 333137628 444183504 666275256 1332550512