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132574108469 = 1125323338861
BaseRepresentation
bin111101101111000001…
…0000101101100110101
3110200012022120111121112
41323132002011230311
54133002432432334
6140523111124405
712402211220525
oct1733602055465
9420168514545
10132574108469
115125169aa00
122183a973705
13c66a28083a
1465b92cb685
1536add2c4ce
hex1ede085b35

132574108469 has 24 divisors (see below), whose sum is σ = 148551827256. Its totient is φ = 118183894400.

The previous prime is 132574108453. The next prime is 132574108489. The reversal of 132574108469 is 964801475231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63775441444 + 68798667025 = 252538^2 + 262295^2 .

It is not a de Polignac number, because 132574108469 - 24 = 132574108453 is a prime.

It is a super-2 number, since 2×1325741084692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132574108489) 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, 14957099 + ... + 14965959.

It is an arithmetic number, because the mean of its divisors is an integer number (6189659469).

It is a 1-persistent number, because it is pandigital, but 2⋅132574108469 = 265148216938 is not.

Almost surely, 2132574108469 is an apocalyptic number.

It is an amenable number.

132574108469 is a deficient number, since it is larger than the sum of its proper divisors (15977718787).

132574108469 is a wasteful number, since it uses less digits than its factorization.

132574108469 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11269 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 132574108469 in words is "one hundred thirty-two billion, five hundred seventy-four million, one hundred eight thousand, four hundred sixty-nine".

Divisors: 1 11 53 121 583 2333 6413 8861 25663 97471 123649 282293 469633 1072181 1360139 5165963 14961529 20672713 56825593 227399843 1095653789 2501398273 12052191679 132574108469