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452030066540 = 22513532837457
BaseRepresentation
bin1101001001111110001…
…01110110111101101100
31121012202202022121101022
412210333011312331230
524401224144112130
6543354301033312
744441504112053
oct6447705667554
91535682277338
10452030066540
11164783208498
1273733b55838
133381ab51770
1417c4237739a
15bb595de7e5
hex693f176f6c

452030066540 has 144 divisors (see below), whose sum is σ = 1054630529568. Its totient is φ = 161759649792.

The previous prime is 452030066539. The next prime is 452030066549. The reversal of 452030066540 is 45660030254.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 452030066540.

It is not an unprimeable number, because it can be changed into a prime (452030066549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60614492 + ... + 60621948.

It is an arithmetic number, because the mean of its divisors is an integer number (7323823122).

Almost surely, 2452030066540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452030066540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527315264784).

452030066540 is an abundant number, since it is smaller than the sum of its proper divisors (602600463028).

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

452030066540 is a wasteful number, since it uses less digits than its factorization.

452030066540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7668 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 452030066540 its reverse (45660030254), we get a palindrome (497690096794).

The spelling of 452030066540 in words is "four hundred fifty-two billion, thirty million, sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 83 106 130 166 212 260 265 332 415 530 689 830 1060 1079 1378 1660 2158 2756 2809 3445 4316 4399 5395 5618 6890 7457 8798 10790 11236 13780 14045 14914 17596 21580 21995 28090 29828 36517 37285 43990 56180 57187 73034 74570 87980 96941 114374 146068 149140 182585 193882 228748 233147 285935 365170 387764 395221 466294 484705 571870 618931 730340 790442 932588 969410 1143740 1165735 1237862 1580884 1938820 1976105 2331470 2475724 3030911 3094655 3952210 4662940 5137873 6061822 6189310 7904420 8046103 10275746 12123644 12378620 15154555 16092206 20551492 20946713 25689365 30309110 32184412 32803343 40230515 41893426 51378730 60618220 65606686 80461030 83786852 102757460 104733565 131213372 160922060 164016715 209467130 272307269 328033430 418934260 426443459 544614538 656066860 852886918 1089229076 1361536345 1705773836 1738577179 2132217295 2723072690 3477154358 4264434590 5446145380 6954308716 8528869180 8692885895 17385771790 22601503327 34771543580 45203006654 90406013308 113007516635 226015033270 452030066540