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132765563772 = 223261280321569
BaseRepresentation
bin111101110100101110…
…0011011101101111100
3110200200122211102220200
41323221130123231330
54133400441020042
6140554110443500
712410024446332
oct1735134335574
9420618742820
10132765563772
115133a777126
1221892b03590
13c69ab357ba
1465d68c7b52
1536c0a49c4c
hex1ee971bb7c

132765563772 has 72 divisors (see below), whose sum is σ = 341241023760. Its totient is φ = 43512145920.

The previous prime is 132765563767. The next prime is 132765563773. The reversal of 132765563772 is 277365567231.

132765563772 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 5 + 563 + 7 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132765563773) 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, 6144604 + ... + 6166172.

Almost surely, 2132765563772 is an apocalyptic number.

132765563772 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 132765563772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170620511880).

132765563772 is an abundant number, since it is smaller than the sum of its proper divisors (208475459988).

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

132765563772 is a wasteful number, since it uses less digits than its factorization.

132765563772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24443 (or 24438 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 132765563772 in words is "one hundred thirty-two billion, seven hundred sixty-five million, five hundred sixty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 2803 5606 8409 11212 16818 21569 25227 33636 43138 50454 64707 86276 100908 129414 170983 194121 258828 341966 388242 512949 683932 776484 1025898 1315709 1538847 2051796 2631418 3077694 3947127 5262836 6155388 7894254 11841381 15788508 23682762 47365524 60457907 120915814 181373721 241831628 362747442 544121163 725494884 1088242326 2176484652 3687932327 7375864654 11063796981 14751729308 22127593962 33191390943 44255187924 66382781886 132765563772