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132216252505753 = 1337446127160321
BaseRepresentation
bin11110000011111111111110…
…110000111001111010011001
3122100010202020222002122210211
4132003333332300321322121
5114312212341120141003
61145111150300411121
736564210664163323
oct3603777660717231
9570122228078724
10132216252505753
113914566373a349
12129b448b546aa1
1358a0c29300a20
14249142d430613
1510443ac76c96d
hex783ffec39e99

132216252505753 has 8 divisors (see below), whose sum is σ = 142387118954696. Its totient is φ = 122045441126400.

The previous prime is 132216252505693. The next prime is 132216252505801. The reversal of 132216252505753 is 357505252612231.

It can be written as a sum of positive squares in 4 ways, for example, as 21290869325209 + 110925383180544 = 4614203^2 + 10532112^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132216252505753 - 213 = 132216252497561 is a prime.

It is a super-2 number, since 2×1322162525057532 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132216252505697 and 132216252505706.

It is not an unprimeable number, because it can be changed into a prime (132216252506753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8712168 + ... + 18448153.

It is an arithmetic number, because the mean of its divisors is an integer number (17798389869337).

Almost surely, 2132216252505753 is an apocalyptic number.

132216252505753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132216252505753 is a deficient number, since it is larger than the sum of its proper divisors (10170866448943).

132216252505753 is a wasteful number, since it uses less digits than its factorization.

132216252505753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27534795.

The product of its (nonzero) digits is 3780000, while the sum is 49.

The spelling of 132216252505753 in words is "one hundred thirty-two trillion, two hundred sixteen billion, two hundred fifty-two million, five hundred five thousand, seven hundred fifty-three".

Divisors: 1 13 374461 4867993 27160321 353084173 10170480961981 132216252505753