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85062282535755 = 3257713803366087
BaseRepresentation
bin10011010101110100011011…
…001000100110001101001011
3102011011212121201112210012200
4103111310123020212031023
542122130023312121010
6500525023444011243
723626355441523420
oct2325643310461513
9364155551483180
1085062282535755
1125115790a16648
129659782390b23
133860453522625
141701071dd3d47
159c79e9e7ecc0
hex4d5d1b22634b

85062282535755 has 48 divisors (see below), whose sum is σ = 170877631601664. Its totient is φ = 38337930146880.

The previous prime is 85062282535739. The next prime is 85062282535771. The reversal of 85062282535755 is 55753528226058.

85062282535755 is a `hidden beast` number, since 8 + 5 + 0 + 6 + 2 + 2 + 8 + 2 + 53 + 575 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (85062282535739) and next prime (85062282535771).

It is not a de Polignac number, because 85062282535755 - 24 = 85062282535739 is a prime.

It is a super-2 number, since 2×850622825357552 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 85062282535692 and 85062282535701.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1901660679 + ... + 1901705408.

It is an arithmetic number, because the mean of its divisors is an integer number (3559950658368).

Almost surely, 285062282535755 is an apocalyptic number.

85062282535755 is an abundant number, since it is smaller than the sum of its proper divisors (85815349065909).

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

85062282535755 is a wasteful number, since it uses less digits than its factorization.

85062282535755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803366176 (or 3803366173 counting only the distinct ones).

The product of its (nonzero) digits is 201600000, while the sum is 63.

The spelling of 85062282535755 in words is "eighty-five trillion, sixty-two billion, two hundred eighty-two million, five hundred thirty-five thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 1065 1491 2485 3195 4473 7455 22365 3803366087 11410098261 19016830435 26623562609 34230294783 57050491305 79870687827 133117813045 171151473915 239612063481 270038992177 399353439135 810116976531 1198060317405 1350194960885 1890272945239 2430350929593 4050584882655 5670818835717 9451364726195 12151754647965 17012456507151 28354094178585 85062282535755