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452135208100 = 225219235392
BaseRepresentation
bin1101001010001010101…
…10111100010010100100
31121020001002011100111011
412211011112330102210
524401433103124400
6543412534352004
744444221600162
oct6450526742244
91536032140434
10452135208100
111648275a0944
12737631bb604
13338368755c4
1417c52306232
15bb6395c8ba
hex69455bc4a4

452135208100 has 81 divisors (see below), whose sum is σ = 1035782499297. Its totient is φ = 171287033760.

The previous prime is 452135208023. The next prime is 452135208139. The reversal of 452135208100 is 1802531254.

The square root of 452135208100 is 672410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 162768674916 + 289366533184 = 403446^2 + 537928^2 .

It is a super-2 number, since 2×4521352081002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127756131 + ... + 127759669.

Almost surely, 2452135208100 is an apocalyptic number.

452135208100 is the 672410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452135208100

452135208100 is an abundant number, since it is smaller than the sum of its proper divisors (583647291197).

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

452135208100 is an equidigital number, since it uses as much as digits as its factorization.

452135208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 452135208100 its reverse (1802531254), we get a palindrome (453937739354).

The spelling of 452135208100 in words is "four hundred fifty-two billion, one hundred thirty-five million, two hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3539 3610 7078 7220 9025 14156 17695 18050 35390 36100 67241 70780 88475 134482 176950 268964 336205 353900 672410 1277579 1344820 1681025 2555158 3362050 5110316 6387895 6724100 12524521 12775790 25049042 25551580 31939475 50098084 62622605 63878950 125245210 127757900 237965899 250490420 313113025 475931798 626226050 951863596 1189829495 1252452100 2379658990 4521352081 4759317980 5949147475 9042704162 11898294950 18085408324 22606760405 23796589900 45213520810 90427041620 113033802025 226067604050 452135208100