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132428613655845 = 3451355967449419
BaseRepresentation
bin11110000111000101110000…
…011110011001110100100101
3122100220001101210001211110000
4132013011300132121310211
5114324202300043441340
61145352510521051513
736615436333160643
oct3607056036316445
9570801353054400
10132428613655845
1139217729002571
1212a29676926b99
1358b7c70542aa0
14249b8170a0193
151049b8aeeed30
hex787170799d25

132428613655845 has 80 divisors (see below), whose sum is σ = 255656500323840. Its totient is φ = 65194315226496.

The previous prime is 132428613655841. The next prime is 132428613655853. The reversal of 132428613655845 is 548556316824231.

132428613655845 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 8 + 6 + 1 + 36 + 558 + 45 = 666.

It is not a de Polignac number, because 132428613655845 - 22 = 132428613655841 is a prime.

It is a super-2 number, since 2×1324286136558452 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132428613655841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294441546 + ... + 294890964.

It is an arithmetic number, because the mean of its divisors is an integer number (3195706254048).

Almost surely, 2132428613655845 is an apocalyptic number.

132428613655845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132428613655845 is a deficient number, since it is larger than the sum of its proper divisors (123227886667995).

132428613655845 is a wasteful number, since it uses less digits than its factorization.

132428613655845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505416 (or 505407 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 63.

The spelling of 132428613655845 in words is "one hundred thirty-two trillion, four hundred twenty-eight billion, six hundred thirteen million, six hundred fifty-five thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 55967 167901 279835 449419 503703 727571 839505 1348257 1511109 2182713 2247095 2518515 3637855 4044771 4533327 5842447 6548139 6741285 7555545 10913565 12134313 17527341 19644417 20223855 22666635 29212235 32740695 36402939 52582023 58933251 60671565 87636705 98222085 157746069 182014695 262910115 294666255 473238207 788730345 2366191035 25152633173 75457899519 125763165865 226373698557 326984231249 377289497595 679121095671 980952693747 1131868492785 1634921156245 2037363287013 2942858081241 3395605478355 4904763468735 8828574243723 10186816435065 14714290406205 26485722731169 44142871218615 132428613655845