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145605632222052 = 22325857369052309
BaseRepresentation
bin100001000110110101110011…
…111111000110001101100100
3201002112202120212020020200100
4201012311303333012031210
5123041100313322101202
61233402145355544100
742445442206014552
oct4106656377061544
9632482525206610
10145605632222052
1142438002505072
12143b741b75b030
13633272425bb22
1427d54c8d4cbd2
1511c780b26741c
hex846d73fc6364

145605632222052 has 36 divisors (see below), whose sum is σ = 368064970540540. Its totient is φ = 48534381410112.

The previous prime is 145605632222051. The next prime is 145605632222077. The reversal of 145605632222052 is 250222236506541.

It is a happy number.

145605632222052 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 0 + 5 + 632 + 2 + 2 + 2 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99744483430656 + 45861148791396 = 9987216^2 + 6772086^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 145605632221989 and 145605632222007.

It is not an unprimeable number, because it can be changed into a prime (145605632222051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32417527 + ... + 36634782.

Almost surely, 2145605632222052 is an apocalyptic number.

145605632222052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145605632222052 is an abundant number, since it is smaller than the sum of its proper divisors (222459338318488).

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

145605632222052 is a wasteful number, since it uses less digits than its factorization.

145605632222052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69110892 (or 69110887 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 145605632222052 its reverse (250222236506541), we get a palindrome (395827868728593).

The spelling of 145605632222052 in words is "one hundred forty-five trillion, six hundred five billion, six hundred thirty-two million, two hundred twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 58573 117146 175719 234292 351438 527157 702876 1054314 2108628 69052309 138104618 207156927 276209236 414313854 621470781 828627708 1242941562 2485883124 4044600895057 8089201790114 12133802685171 16178403580228 24267605370342 36401408055513 48535210740684 72802816111026 145605632222052