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1082540166225 = 35274909420041
BaseRepresentation
bin11111100000011000110…
…11000000110001010001
310211111020002022022110120
433300030123000301101
5120214020240304400
62145151224420453
7141132232406040
oct17601433006121
93744202268416
101082540166225
1138811477a501
12155978617729
137b11075419b
143a5766ca557
151d25cc46ca0
hexfc0c6c0c51

1082540166225 has 48 divisors (see below), whose sum is σ = 2045906970240. Its totient is φ = 494773516800.

The previous prime is 1082540166209. The next prime is 1082540166263. The reversal of 1082540166225 is 5226610452801.

It is not a de Polignac number, because 1082540166225 - 24 = 1082540166209 is a prime.

It is a super-2 number, since 2×10825401662252 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2367205 + ... + 2787245.

It is an arithmetic number, because the mean of its divisors is an integer number (42623061880).

Almost surely, 21082540166225 is an apocalyptic number.

1082540166225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1082540166225 is a deficient number, since it is larger than the sum of its proper divisors (963366804015).

1082540166225 is a wasteful number, since it uses less digits than its factorization.

1082540166225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424970 (or 424965 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 1082540166225 in words is "one trillion, eighty-two billion, five hundred forty million, one hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 4909 14727 24545 34363 73635 103089 122725 171815 368175 420041 515445 859075 1260123 2100205 2577225 2940287 6300615 8820861 10501025 14701435 31503075 44104305 73507175 220521525 2061981269 6185943807 10309906345 14433868883 30929719035 43301606649 51549531725 72169344415 154648595175 216508033245 360846722075 1082540166225