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145130452605 = 32537181481577
BaseRepresentation
bin1000011100101001110…
…0101111011001111101
3111212121101112212122100
42013022130233121331
54334211343440410
6150401053135313
713325316331035
oct2071234573175
9455541485570
10145130452605
11566053a2116
1224163a8a539
13108bb767378
14704ab6a8c5
153b963458c0
hex21ca72f67d

145130452605 has 48 divisors (see below), whose sum is σ = 259786288944. Its totient is φ = 74894699520.

The previous prime is 145130452603. The next prime is 145130452609. The reversal of 145130452605 is 506254031541.

145130452605 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 0 + 45 + 2 + 605 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1971892836 + 143158559769 = 44406^2 + 378363^2 .

It is not a de Polignac number, because 145130452605 - 21 = 145130452603 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145130452605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145130452603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60577 + ... + 542153.

It is an arithmetic number, because the mean of its divisors is an integer number (5412214353).

Almost surely, 2145130452605 is an apocalyptic number.

145130452605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145130452605 is a deficient number, since it is larger than the sum of its proper divisors (114655836339).

145130452605 is a wasteful number, since it uses less digits than its factorization.

145130452605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481806 (or 481803 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 145130452605 in words is "one hundred forty-five billion, one hundred thirty million, four hundred fifty-two thousand, six hundred five".

Divisors: 1 3 5 9 15 37 45 111 181 185 333 543 555 905 1629 1665 2715 6697 8145 20091 33485 60273 100455 301365 481577 1444731 2407885 4334193 7223655 17818349 21670965 53455047 87165437 89091745 160365141 261496311 267275235 435827185 784488933 801825705 1307481555 3225121169 3922444665 9675363507 16125605845 29026090521 48376817535 145130452605