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2058040566 = 2323722713613
BaseRepresentation
bin111101010101011…
…0011010011110110
312022102120021220200
41322222303103312
513203324244231
6540114541330
7102000025161
oct17252632366
95272507820
102058040566
1196678a37a
12495297846
1326a4b94aa
14157486ad8
15c0a29be6
hex7aab34f6

2058040566 has 48 divisors (see below), whose sum is σ = 4600116144. Its totient is φ = 664483392.

The previous prime is 2058040531. The next prime is 2058040573. The reversal of 2058040566 is 6650408502.

2058040566 is a `hidden beast` number, since 2 + 0 + 58 + 0 + 40 + 566 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2058040566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144376 + ... + 157988.

It is an arithmetic number, because the mean of its divisors is an integer number (95835753).

Almost surely, 22058040566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058040566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300058072).

2058040566 is an abundant number, since it is smaller than the sum of its proper divisors (2542075578).

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

2058040566 is a wasteful number, since it uses less digits than its factorization.

2058040566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2058040566 is about 45365.6319916300. The cubic root of 2058040566 is about 1271.9927724462.

The spelling of 2058040566 in words is "two billion, fifty-eight million, forty thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 227 333 454 666 681 1362 2043 4086 8399 13613 16798 25197 27226 40839 50394 75591 81678 122517 151182 245034 503681 1007362 1511043 3022086 3090151 4533129 6180302 9066258 9270453 18540906 27811359 55622718 114335587 228671174 343006761 686013522 1029020283 2058040566