Search a number
-
+
452035545200 = 245241131920897
BaseRepresentation
bin1101001001111110110…
…10110000100001110000
31121012210010121221200122
412210333122300201300
524401232044421300
6543355014305412
744441601510611
oct6447732604160
91535703557618
10452035545200
1116478630a708
1273735958268
133381c01c385
1417c42da1c08
15bb59d22c85
hex693f6b0870

452035545200 has 120 divisors (see below), whose sum is σ = 1113400300320. Its totient is φ = 176261939200.

The previous prime is 452035545191. The next prime is 452035545229. The reversal of 452035545200 is 2545530254.

It is a super-2 number, since 2×4520355452002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21621152 + ... + 21642048.

It is an arithmetic number, because the mean of its divisors is an integer number (9278335836).

Almost surely, 2452035545200 is an apocalyptic number.

452035545200 is a gapful number since it is divisible by the number (40) 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 452035545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556700150160).

452035545200 is an abundant number, since it is smaller than the sum of its proper divisors (661364755120).

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

452035545200 is a wasteful number, since it uses less digits than its factorization.

452035545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22275 (or 22264 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The spelling of 452035545200 in words is "four hundred fifty-two billion, thirty-five million, five hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1319 1640 2050 2638 3280 4100 5276 6595 8200 10552 13190 16400 20897 21104 26380 32975 41794 52760 54079 65950 83588 104485 105520 108158 131900 167176 208970 216316 263800 270395 334352 417940 432632 522425 527600 540790 835880 856777 865264 1044850 1081580 1351975 1671760 1713554 2089700 2163160 2703950 3427108 4179400 4283885 4326320 5407900 6854216 8358800 8567770 10815800 13708432 17135540 21419425 21631600 27563143 34271080 42838850 55126286 68542160 85677700 110252572 137815715 171355400 220505144 275631430 342710800 441010288 551262860 689078575 1102525720 1130088863 1378157150 2205051440 2260177726 2756314300 4520355452 5512628600 5650444315 9040710904 11025257200 11300888630 18081421808 22601777260 28252221575 45203554520 56504443150 90407109040 113008886300 226017772600 452035545200