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132713613410 = 2572376971861
BaseRepresentation
bin111101110011001011…
…0010000100001100010
3110200120001002002102012
41323212112100201202
54133244141112120
6140545013152522
712405524046500
oct1734626204142
9420501062365
10132713613410
1151313414044
122187962b742
13c690146741
1465cda43670
1536bb1d71c5
hex1ee6590862

132713613410 has 48 divisors (see below), whose sum is σ = 277963653240. Its totient is φ = 45489104640.

The previous prime is 132713613391. The next prime is 132713613449. The reversal of 132713613410 is 14316317231.

It can be written as a sum of positive squares in 4 ways, for example, as 83688125521 + 49025487889 = 289289^2 + 221417^2 .

It is a super-2 number, since 2×1327136134102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1810880 + ... + 1882740.

Almost surely, 2132713613410 is an apocalyptic number.

132713613410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132713613410 is an abundant number, since it is smaller than the sum of its proper divisors (145250039830).

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

132713613410 is a wasteful number, since it uses less digits than its factorization.

132713613410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75651 (or 75644 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 132713613410 in words is "one hundred thirty-two billion, seven hundred thirteen million, six hundred thirteen thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 3769 7538 18845 26383 37690 52766 71861 131915 143722 184681 263830 359305 369362 503027 718610 923405 1006054 1846810 2515135 3521189 5030270 7042378 17605945 35211890 270844109 541688218 1354220545 1895908763 2708441090 3791817526 9479543815 13271361341 18959087630 26542722682 66356806705 132713613410