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830055169953 = 325311821147209
BaseRepresentation
bin11000001010000110010…
…01001011111110100001
32221100111222020120022100
430011003021023332201
5102044423110414303
61433153323001013
7113653353350142
oct14050311137641
92840458216270
10830055169953
112a002a55a829
12114a53969169
13603738ba0c9
142c263c51ac9
15168d1bb78a3
hexc14324bfa1

830055169953 has 24 divisors (see below), whose sum is σ = 1221702267240. Its totient is φ = 542879550720.

The previous prime is 830055169891. The next prime is 830055169997. The reversal of 830055169953 is 359961550038.

It is a happy number.

830055169953 is a `hidden beast` number, since 8 + 30 + 0 + 5 + 516 + 9 + 95 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 232909516449 + 597145653504 = 482607^2 + 772752^2 .

It is not a de Polignac number, because 830055169953 - 221 = 830053072801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 830055169953.

It is not an unprimeable number, because it can be changed into a prime (830055169453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5565013 + ... + 5712221.

It is an arithmetic number, because the mean of its divisors is an integer number (50904261135).

Almost surely, 2830055169953 is an apocalyptic number.

It is an amenable number.

830055169953 is a deficient number, since it is larger than the sum of its proper divisors (391647097287).

830055169953 is a wasteful number, since it uses less digits than its factorization.

830055169953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159089 (or 159086 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 830055169953 in words is "eight hundred thirty billion, fifty-five million, one hundred sixty-nine thousand, nine hundred fifty-three".

Divisors: 1 3 9 53 159 477 11821 35463 106389 147209 441627 626513 1324881 1879539 5638617 7802077 23406231 70218693 1740157589 5220472767 15661418301 92228352217 276685056651 830055169953