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10454054200 = 235271799319
BaseRepresentation
bin10011011110001110…
…00011010100111000
3222222120010222101121
421233013003110320
5132402214213300
64445202355024
7520026665062
oct115707032470
928876128347
1010454054200
11448504a717
12203905ba74
13ca7aa65b5
14712598732
15412b9c81a
hex26f1c3538

10454054200 has 96 divisors (see below), whose sum is σ = 24962688000. Its totient is φ = 4070102400.

The previous prime is 10454054189. The next prime is 10454054203. The reversal of 10454054200 is 245045401.

It is a happy number.

10454054200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10454054203) 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, 1117141 + ... + 1126459.

It is an arithmetic number, because the mean of its divisors is an integer number (260028000).

Almost surely, 210454054200 is an apocalyptic number.

10454054200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10454054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481344000).

10454054200 is an abundant number, since it is smaller than the sum of its proper divisors (14508633800).

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

10454054200 is a wasteful number, since it uses less digits than its factorization.

10454054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 10454054200 its reverse (245045401), we get a palindrome (10699099601).

The spelling of 10454054200 in words is "ten billion, four hundred fifty-four million, fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 79 100 142 158 200 284 316 355 395 568 632 710 790 1420 1580 1775 1975 2840 3160 3550 3950 5609 7100 7900 9319 11218 14200 15800 18638 22436 28045 37276 44872 46595 56090 74552 93190 112180 140225 186380 224360 232975 280450 372760 465950 560900 661649 736201 931900 1121800 1323298 1472402 1863800 2646596 2944804 3308245 3681005 5293192 5889608 6616490 7362010 13232980 14724020 16541225 18405025 26465960 29448040 33082450 36810050 52270271 66164900 73620100 104540542 132329800 147240200 209081084 261351355 418162168 522702710 1045405420 1306756775 2090810840 2613513550 5227027100 10454054200