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132452162892 = 223271936775377
BaseRepresentation
bin111101101011011000…
…0111001110101001100
3110122212211010000201200
41323112300321311030
54132230223203032
6140503033305500
712366200544210
oct1732660716514
9418784100650
10132452162892
115119987a435
1221805b65290
13c64ac251aa
1465a7026940
1536a329047c
hex1ed6c39d4c

132452162892 has 144 divisors (see below), whose sum is σ = 403881354240. Its totient is φ = 35753550336.

The previous prime is 132452162879. The next prime is 132452162929. The reversal of 132452162892 is 298261254231.

132452162892 is a `hidden beast` number, since 1 + 32 + 4 + 521 + 6 + 2 + 8 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719508 + ... + 1794884.

Almost surely, 2132452162892 is an apocalyptic number.

132452162892 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 132452162892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201940677120).

132452162892 is an abundant number, since it is smaller than the sum of its proper divisors (271429191348).

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

132452162892 is a wasteful number, since it uses less digits than its factorization.

132452162892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75780 (or 75775 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 132452162892 in words is "one hundred thirty-two billion, four hundred fifty-two million, one hundred sixty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 367 399 532 684 734 798 1101 1197 1468 1596 2202 2394 2569 3303 4404 4788 5138 6606 6973 7707 10276 13212 13946 15414 20919 23121 27892 30828 41838 46242 48811 62757 75377 83676 92484 97622 125514 146433 150754 195244 226131 251028 292866 301508 439299 452262 527639 585732 678393 878598 904524 1055278 1356786 1432163 1582917 1757196 2110556 2713572 2864326 3165834 4296489 4748751 5728652 6331668 8592978 9497502 10025141 12889467 17185956 18995004 20050282 25778934 27663359 30075423 40100564 51557868 55326718 60150846 82990077 90226269 110653436 120301692 165980154 180452538 193643513 248970231 331960308 360905076 387287026 497940462 525603821 580930539 774574052 995880924 1051207642 1161861078 1576811463 1742791617 2102415284 2323722156 3153622926 3485583234 3679226747 4730434389 6307245852 6971166468 7358453494 9460868778 11037680241 14716906988 18921737556 22075360482 33113040723 44150720964 66226081446 132452162892