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132214662650529 = 3419312771272981
BaseRepresentation
bin11110000011111110100000…
…000000000101101010100001
3122100010121011011111122110000
4132003332200000011222201
5114312201112114304104
61145110324424330213
736564123410505024
oct3603764000055241
9570117134448400
10132214662650529
1139144a18267608
12129b4107013969
1358a0a34b0a6a4
14249131c21b1bb
151044317dc4639
hex783fa0005aa1

132214662650529 has 40 divisors (see below), whose sum is σ = 214607379726080. Its totient is φ = 80810320096800.

The previous prime is 132214662650527. The next prime is 132214662650593. The reversal of 132214662650529 is 925056266412231.

132214662650529 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 4 + 6 + 62 + 6 + 50 + 529 = 666.

It is not a de Polignac number, because 132214662650529 - 21 = 132214662650527 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132214662650527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1385588782 + ... + 1385684199.

It is an arithmetic number, because the mean of its divisors is an integer number (5365184493152).

Almost surely, 2132214662650529 is an apocalyptic number.

132214662650529 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

132214662650529 is a deficient number, since it is larger than the sum of its proper divisors (82392717075551).

132214662650529 is a wasteful number, since it uses less digits than its factorization.

132214662650529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771273043 (or 2771273034 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 132214662650529 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred sixty-two million, six hundred fifty thousand, five hundred twenty-nine".

Divisors: 1 3 9 19 27 31 57 81 93 171 279 513 589 837 1539 1767 2511 5301 15903 47709 2771272981 8313818943 24941456829 52654186639 74824370487 85909462411 157962559917 224473111461 257728387233 473887679751 773185161699 1421663039253 1632279785809 2319555485097 4264989117759 4896839357427 6958666455291 14690518072281 44071554216843 132214662650529