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132537114693 = 32313405711597
BaseRepresentation
bin111101101101111010…
…0111110000001000101
3110200002201222000200200
41323123310332001011
54132414000132233
6140515310201113
712401251613124
oct1733364760105
9420081860620
10132537114693
1151232822a35
122182a4b3199
13c6626ca429
1465b441babb
1536aa971313
hex1edbd3e045

132537114693 has 24 divisors (see below), whose sum is σ = 192118040088. Its totient is φ = 88046479872.

The previous prime is 132537114691. The next prime is 132537114719. The reversal of 132537114693 is 396411735231.

132537114693 is a `hidden beast` number, since 13 + 2 + 537 + 1 + 14 + 6 + 93 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8870249124 + 123666865569 = 94182^2 + 351663^2 .

It is not a de Polignac number, because 132537114693 - 21 = 132537114691 is a prime.

It is a super-2 number, since 2×1325371146932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132537114691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11422771 + ... + 11434367.

It is an arithmetic number, because the mean of its divisors is an integer number (8004918337).

Almost surely, 2132537114693 is an apocalyptic number.

It is an amenable number.

132537114693 is a deficient number, since it is larger than the sum of its proper divisors (59580925395).

132537114693 is a wasteful number, since it uses less digits than its factorization.

132537114693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15973 (or 15970 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 132537114693 in words is "one hundred thirty-two billion, five hundred thirty-seven million, one hundred fourteen thousand, six hundred ninety-three".

Divisors: 1 3 9 313 939 2817 4057 11597 12171 34791 36513 104373 1269841 3629861 3809523 10889583 11428569 32668749 47049029 141147087 423441261 14726346077 44179038231 132537114693