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1085177693442 = 231733304134319
BaseRepresentation
bin11111100101010011010…
…00011000010100000010
310211202000220021120121210
433302221220120110002
5120234420442142232
62150305044030550
7141254500125543
oct17625150302402
93752026246553
101085177693442
11389248576767
12156393992456
137b44100628b
143a746ada4ca
151d36458b5cc
hexfca9a18502

1085177693442 has 32 divisors (see below), whose sum is σ = 2172385163520. Its totient is φ = 361387758080.

The previous prime is 1085177693441. The next prime is 1085177693533. The reversal of 1085177693442 is 2443967715801.

It is a super-2 number, since 2×10851776934422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1085177693441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31603159 + ... + 31637477.

It is an arithmetic number, because the mean of its divisors is an integer number (67887036360).

It is a 1-persistent number, because it is pandigital, but 2⋅1085177693442 = 2170355386884 is not.

Almost surely, 21085177693442 is an apocalyptic number.

1085177693442 is an abundant number, since it is smaller than the sum of its proper divisors (1087207470078).

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

1085177693442 is a wasteful number, since it uses less digits than its factorization.

1085177693442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39098.

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 1085177693442 in words is "one trillion, eighty-five billion, one hundred seventy-seven million, six hundred ninety-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 1733 3041 3466 5199 6082 9123 10398 18246 34319 68638 102957 205914 5270053 10540106 15810159 31620318 59474827 104364079 118949654 178424481 208728158 313092237 356848962 626184474 180862948907 361725897814 542588846721 1085177693442