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132736312506 = 237231737431069
BaseRepresentation
bin111101110011110110…
…0110110010010111010
3110200121121210022201110
41323213230312102322
54133320444000011
6140551143501150
712406221016560
oct1734754662272
9420547708643
10132736312506
1151325208226
12218851577b6
13c694a63565
1465d2a71a30
1536bd1bcba6
hex1ee7b364ba

132736312506 has 128 divisors (see below), whose sum is σ = 319145287680. Its totient is φ = 35983842048.

The previous prime is 132736312469. The next prime is 132736312507. The reversal of 132736312506 is 605213637231.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132736312507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124168140 + ... + 124169208.

It is an arithmetic number, because the mean of its divisors is an integer number (2493322560).

Almost surely, 2132736312506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132736312506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159572643840).

132736312506 is an abundant number, since it is smaller than the sum of its proper divisors (186408975174).

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

132736312506 is a wasteful number, since it uses less digits than its factorization.

132736312506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020.

The product of its (nonzero) digits is 136080, while the sum is 39.

Adding to 132736312506 its reverse (605213637231), we get a palindrome (737949949737).

The spelling of 132736312506 in words is "one hundred thirty-two billion, seven hundred thirty-six million, three hundred twelve thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 173 322 346 483 519 743 966 1038 1069 1211 1486 2138 2229 2422 3207 3633 3979 4458 5201 6414 7266 7483 7958 10402 11937 14966 15603 17089 22449 23874 24587 27853 31206 34178 44898 49174 51267 55706 73761 83559 102534 119623 128539 147522 167118 172109 184937 239246 257078 344218 358869 369874 385617 516327 554811 717738 771234 794267 899773 1032654 1109622 1294559 1588534 1799546 2382801 2589118 2699319 2956397 3883677 4253551 4765602 5398638 5559869 5912794 7767354 8507102 8869191 11119738 12760653 16679607 17738382 18268141 20694779 25521306 29774857 33359214 36536282 41389558 54804423 59549714 62084337 89324571 109608846 124168674 127876987 137408191 178649142 255753974 274816382 383630961 412224573 767261922 824449146 961857337 1923714674 2885572011 3160388393 5771144022 6320776786 9481165179 18962330358 22122718751 44245437502 66368156253 132736312506