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20100204450 = 23252205321757
BaseRepresentation
bin10010101110000100…
…001100011110100010
31220212211002011220200
4102232010030132202
5312131123020300
613122305050030
71311046630104
oct225604143642
956784064820
1020100204450
118585050117
123a8b626916
131b84390501
14d8972b574
157c9961200
hex4ae10c7a2

20100204450 has 72 divisors (see below), whose sum is σ = 54031336788. Its totient is φ = 5357197440.

The previous prime is 20100204437. The next prime is 20100204463. The reversal of 20100204450 is 5440200102.

20100204450 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 204 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (20100204437) and next prime (20100204463).

It can be written as a sum of positive squares in 6 ways, for example, as 12361659489 + 7738544961 = 111183^2 + 87969^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 912972 + ... + 934728.

Almost surely, 220100204450 is an apocalyptic number.

20100204450 is an abundant number, since it is smaller than the sum of its proper divisors (33931132338).

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

20100204450 is a wasteful number, since it uses less digits than its factorization.

20100204450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23828 (or 23820 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 20100204450 its reverse (5440200102), we get a palindrome (25540404552).

The spelling of 20100204450 in words is "twenty billion, one hundred million, two hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2053 4106 6159 10265 12318 18477 20530 21757 30795 36954 43514 51325 61590 65271 92385 102650 108785 130542 153975 184770 195813 217570 307950 326355 391626 461925 543925 652710 923850 979065 1087850 1631775 1958130 3263550 4895325 9790650 44667121 89334242 134001363 223335605 268002726 402004089 446671210 670006815 804008178 1116678025 1340013630 2010020445 2233356050 3350034075 4020040890 6700068150 10050102225 20100204450