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132552424212 = 223133149995483
BaseRepresentation
bin111101101110010111…
…1010111101100010100
3110200010210202211101220
41323130233113230110
54132431410033322
6140521014250340
712401526005235
oct1733457275424
9420123684356
10132552424212
115124042a22a
12218336569b0
13c66592a910
1465b648508c
1536abe9755c
hex1edcbd7b14

132552424212 has 96 divisors (see below), whose sum is σ = 343956480000. Its totient is φ = 39454611840.

The previous prime is 132552424211. The next prime is 132552424229. The reversal of 132552424212 is 212424255231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132552424211) 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 31 ways as a sum of consecutive naturals, for example, 24172423 + ... + 24177905.

It is an arithmetic number, because the mean of its divisors is an integer number (3582880000).

Almost surely, 2132552424212 is an apocalyptic number.

132552424212 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 132552424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171978240000).

132552424212 is an abundant number, since it is smaller than the sum of its proper divisors (211404055788).

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

132552424212 is a wasteful number, since it uses less digits than its factorization.

132552424212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10533 (or 10531 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

Adding to 132552424212 its reverse (212424255231), we get a palindrome (344976679443).

The spelling of 132552424212 in words is "one hundred thirty-two billion, five hundred fifty-two million, four hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 4999 5483 9998 10966 14997 16449 19996 21932 29994 32898 59988 64987 65796 71279 129974 142558 154969 169973 194961 213837 259948 285116 309938 339946 389922 427674 464907 509919 619876 679892 779844 855348 929814 1019838 1859628 2014597 2039676 2209649 4029194 4419298 6043791 6628947 8058388 8838596 12087582 13257894 24175164 26515788 27409517 54819034 82228551 109638068 164457102 328914204 356323721 712647442 849695027 1068971163 1425294884 1699390054 2137942326 2549085081 3398780108 4275884652 5098170162 10196340324 11046035351 22092070702 33138106053 44184141404 66276212106 132552424212