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2123949258 = 2323725712409
BaseRepresentation
bin111111010011000…
…1110010011001010
312111000120210122100
41332212032103022
513322212334013
6550431334230
7103430161614
oct17646162312
95430523570
102123949258
1199aa06572
124b3381376
1327b054a12
14162121db4
15c66e8473
hex7e98e4ca

2123949258 has 48 divisors (see below), whose sum is σ = 4745037960. Its totient is φ = 686112768.

The previous prime is 2123949227. The next prime is 2123949259. The reversal of 2123949258 is 8529493212.

2123949258 is a `hidden beast` number, since 2 + 1 + 2 + 394 + 9 + 258 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2079633609 + 44315649 = 45603^2 + 6657^2 .

It is a super-2 number, since 2×21239492582 = 9022320901117501128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2123949259) 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 23 ways as a sum of consecutive naturals, for example, 164958 + ... + 177366.

Almost surely, 22123949258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123949258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372518980).

2123949258 is an abundant number, since it is smaller than the sum of its proper divisors (2621088702).

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

2123949258 is a wasteful number, since it uses less digits than its factorization.

2123949258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12711 (or 12708 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2123949258 is about 46086.3239801137. The cubic root of 2123949258 is about 1285.4288581532.

The spelling of 2123949258 in words is "two billion, one hundred twenty-three million, nine hundred forty-nine thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 257 333 514 666 771 1542 2313 4626 9509 12409 19018 24818 28527 37227 57054 74454 85581 111681 171162 223362 459133 918266 1377399 2754798 3189113 4132197 6378226 8264394 9567339 19134678 28702017 57404034 117997181 235994362 353991543 707983086 1061974629 2123949258