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132255052417008 = 2433674569342607
BaseRepresentation
bin11110000100100100000111…
…011010110100011111110000
3122100021110101222222101001000
4132010210013122310133300
5114313331321404321013
61145141044325242000
736600053330036163
oct3604440732643760
9570243358871030
10132255052417008
1139160064230a04
12129bbab9563300
1358a47a085a5b1
142493270487ada
1510453cdbec973
hex7849076b47f0

132255052417008 has 80 divisors (see below), whose sum is σ = 385286968706560. Its totient is φ = 43427032127424.

The previous prime is 132255052417001. The next prime is 132255052417039. The reversal of 132255052417008 is 800714250552231.

132255052417008 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 50 + 524 + 1 + 70 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132255052417001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2284642360 + ... + 2284700247.

It is an arithmetic number, because the mean of its divisors is an integer number (4816087108832).

Almost surely, 2132255052417008 is an apocalyptic number.

132255052417008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132255052417008 is an abundant number, since it is smaller than the sum of its proper divisors (253031916289552).

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

132255052417008 is a wasteful number, since it uses less digits than its factorization.

132255052417008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569342691 (or 4569342679 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 132255052417008 in words is "one hundred thirty-two trillion, two hundred fifty-five billion, fifty-two million, four hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9648 14472 28944 4569342607 9138685214 13708027821 18277370428 27416055642 36554740856 41124083463 54832111284 73109481712 82248166926 109664222568 123372250389 164496333852 219328445136 246744500778 306145954669 328992667704 493489001556 612291909338 657985335408 918437864007 986978003112 1224583818676 1836875728014 1973956006224 2449167637352 2755313592021 3673751456028 4898335274704 5510627184042 7347502912056 8265940776063 11021254368084 14695005824112 16531881552126 22042508736168 33063763104252 44085017472336 66127526208504 132255052417008