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5253516450 = 23252713128291
BaseRepresentation
bin1001110010010001…
…00100110010100010
3111120010102021202100
410321020210302202
541224400011300
62225145031230
7244121103330
oct47110446242
914503367670
105253516450
112256522736
121027485516
13659532a20
1437ba14b50
1520b332700
hex139224ca2

5253516450 has 144 divisors (see below), whose sum is σ = 17371763136. Its totient is φ = 1108425600.

The previous prime is 5253516413. The next prime is 5253516451. The reversal of 5253516450 is 546153525.

5253516450 is a `hidden beast` number, since 5 + 2 + 5 + 3 + 5 + 1 + 645 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5253516451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23196 + ... + 105095.

It is an arithmetic number, because the mean of its divisors is an integer number (120637244).

Almost surely, 25253516450 is an apocalyptic number.

5253516450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5253516450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685881568).

5253516450 is an abundant number, since it is smaller than the sum of its proper divisors (12118246686).

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

5253516450 is a wasteful number, since it uses less digits than its factorization.

5253516450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128329 (or 128321 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5253516450 is about 72481.1454793590. The cubic root of 5253516450 is about 1738.4012762801.

Adding to 5253516450 its reverse (546153525), we get a palindrome (5799669975).

The spelling of 5253516450 in words is "five billion, two hundred fifty-three million, five hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1050 1170 1365 1575 1638 1950 2275 2730 2925 3150 4095 4550 5850 6825 8190 13650 20475 40950 128291 256582 384873 641455 769746 898037 1154619 1282910 1667783 1796074 1924365 2309238 2694111 3207275 3335566 3848730 4490185 5003349 5388222 5773095 6414550 8082333 8338915 8980370 9621825 10006698 11546190 11674481 13470555 15010047 16164666 16677830 19243650 22450925 23348962 25016745 26941110 28865475 30020094 35023443 40411665 41694575 44901850 50033490 57730950 58372405 67352775 70046886 75050235 80823330 83389150 105070329 116744810 125083725 134705550 150100470 175117215 202058325 210140658 250167450 291862025 350234430 375251175 404116650 525351645 583724050 750502350 875586075 1050703290 1751172150 2626758225 5253516450