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2813426190 = 233556918313
BaseRepresentation
bin1010011110110001…
…0111101000001110
321021001221212012000
42213230113220032
521230214114230
61143101253130
7126501504501
oct24754275016
97231855160
102813426190
111214118813
126662641a6
1335ab4b433
141c991b138
15116edcb60
hexa7b17a0e

2813426190 has 64 divisors (see below), whose sum is σ = 7516065600. Its totient is φ = 748887552.

The previous prime is 2813426179. The next prime is 2813426219. The reversal of 2813426190 is 916243182.

2813426190 is a `hidden beast` number, since 2 + 8 + 1 + 34 + 2 + 619 + 0 = 666.

It is a super-2 number, since 2×28134261902 = 15830733853155832200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 144474 + ... + 162786.

It is an arithmetic number, because the mean of its divisors is an integer number (117438525).

Almost surely, 22813426190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813426190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758032800).

2813426190 is an abundant number, since it is smaller than the sum of its proper divisors (4702639410).

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

2813426190 is a wasteful number, since it uses less digits than its factorization.

2813426190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18898 (or 18892 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2813426190 is about 53041.7400732668. The cubic root of 2813426190 is about 1411.7089735444.

The spelling of 2813426190 in words is "two billion, eight hundred thirteen million, four hundred twenty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 569 1138 1707 2845 3414 5121 5690 8535 10242 15363 17070 18313 25605 30726 36626 51210 54939 76815 91565 109878 153630 164817 183130 274695 329634 494451 549390 824085 988902 1648170 2472255 4944510 10420097 20840194 31260291 52100485 62520582 93780873 104200970 156301455 187561746 281342619 312602910 468904365 562685238 937808730 1406713095 2813426190