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854012820127 = 3733782383221
BaseRepresentation
bin11000110110101110010…
…00010111101010011111
310000122100121210021222011
430123113020113222133
5102443004240221002
61452154510332051
7115462143124555
oct14332710275237
93018317707864
10854012820127
112aa203a77a15
1211961b1ba027
13626c11a917c
142d4979c5bd5
15173350e08d7
hexc6d7217a9f

854012820127 has 16 divisors (see below), whose sum is σ = 880776375232. Its totient is φ = 827449136640.

The previous prime is 854012820113. The next prime is 854012820179. The reversal of 854012820127 is 721028210458.

It is a cyclic number.

It is not a de Polignac number, because 854012820127 - 211 = 854012818079 is a prime.

It is a super-2 number, since 2×8540128201272 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 854012820127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854012820827) 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, 10220377 + ... + 10303597.

It is an arithmetic number, because the mean of its divisors is an integer number (55048523452).

Almost surely, 2854012820127 is an apocalyptic number.

854012820127 is a deficient number, since it is larger than the sum of its proper divisors (26763555105).

854012820127 is a wasteful number, since it uses less digits than its factorization.

854012820127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84418.

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 854012820127 in words is "eight hundred fifty-four billion, twelve million, eight hundred twenty thousand, one hundred twenty-seven".

Divisors: 1 37 337 823 12469 30451 83221 277351 3079177 10261987 28045477 68490883 1037682649 2534162671 23081427571 854012820127