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132192345285049 = 72232714132
BaseRepresentation
bin11110000011101001101101…
…110010000110000110111001
3122100001110112211110000101011
4132003221231302012012321
5114311314410343110144
61145052154113553521
736562403356152400
oct3603515562060671
9570043484400334
10132192345285049
1139136505736605
12129ab918b758a1
13589b8b92ba69a
142490202266637
15104395d9a6a34
hex783a6dc861b9

132192345285049 has 27 divisors (see below), whose sum is σ = 160753569112143. Its totient is φ = 108379784055312.

The previous prime is 132192345285031. The next prime is 132192345285059. The reversal of 132192345285049 is 940582543291231.

The square root of 132192345285049 is 11497493.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66380208234025 + 65812137051024 = 8147405^2 + 8112468^2 .

It is not a de Polignac number, because 132192345285049 - 213 = 132192345276857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132192345284984 and 132192345285002.

It is not an unprimeable number, because it can be changed into a prime (132192345285019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1851060667 + ... + 1851132079.

Almost surely, 2132192345285049 is an apocalyptic number.

132192345285049 is the 11497493-rd square number.

132192345285049 is the 5748747-th centered octagonal number.

It is an amenable number.

132192345285049 is a deficient number, since it is larger than the sum of its proper divisors (28561223827094).

132192345285049 is an frugal number, since it uses more digits than its factorization.

132192345285049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142886 (or 71443 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 132192345285049 in words is "one hundred thirty-two trillion, one hundred ninety-two billion, three hundred forty-five million, two hundred eighty-five thousand, forty-nine".

Divisors: 1 7 23 49 161 529 1127 3703 25921 71413 499891 1642499 3499237 11497493 37777477 80482451 264442339 1851096373 5099816569 35698715983 117295781087 249891011881 821070467609 2697802965001 5747493273263 18884620755007 132192345285049