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132295075263 = 321329312515011
BaseRepresentation
bin111101100110101100…
…1101010010110111111
3110122110212112011000100
41323031121222112333
54131420014402023
6140435302332143
712362252404611
oct1731531522677
9418425464010
10132295075263
115111913714a
122178142a053
13c624514230
146590214db1
1536945b0c43
hex1ecd66a5bf

132295075263 has 96 divisors (see below), whose sum is σ = 220675553280. Its totient is φ = 75751200000.

The previous prime is 132295075189. The next prime is 132295075271. The reversal of 132295075263 is 362570592231.

132295075263 is a `hidden beast` number, since 1 + 32 + 2 + 9 + 507 + 52 + 63 = 666.

It is not a de Polignac number, because 132295075263 - 28 = 132295075007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132295075663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26398428 + ... + 26403438.

It is an arithmetic number, because the mean of its divisors is an integer number (2298703680).

Almost surely, 2132295075263 is an apocalyptic number.

132295075263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132295075263 is a deficient number, since it is larger than the sum of its proper divisors (88380478017).

132295075263 is a wasteful number, since it uses less digits than its factorization.

132295075263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 132295075263 in words is "one hundred thirty-two billion, two hundred ninety-five million, seventy-five thousand, two hundred sixty-three".

Divisors: 1 3 9 13 29 31 39 87 93 117 251 261 279 377 403 753 899 1131 1209 2259 2697 3263 3393 3627 5011 7279 7781 8091 9789 11687 15033 21837 23343 29367 35061 45099 65143 65511 70029 94627 101153 105183 145319 155341 195429 225649 283881 303459 435957 466023 586287 676947 851643 910377 1257761 1307871 1398069 1889147 2019433 2030841 2933437 3773283 4504889 5667441 6058299 8800311 11319849 13514667 16350893 17002323 18174897 26400933 36475069 38990591 40544001 49052679 58563557 109425207 116971773 147158037 175690671 328275621 350915319 474175897 506877683 527072013 1130727139 1422527691 1520633049 3392181417 4267583073 4561899147 10176544251 14699452807 44098358421 132295075263