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273323428452 = 2232236744910973
BaseRepresentation
bin1111111010001101011…
…0001000101001100100
3222010111101020210010200
43332203112020221210
513434231244202302
6325321341350500
725514131544304
oct3764326105144
9863441223120
10273323428452
11a5a08a4a258
1244b7b568430
131ca0b15c929
14d32c251604
15719a71481c
hex3fa3588a64

273323428452 has 144 divisors (see below), whose sum is σ = 733396809600. Its totient is φ = 85646905344.

The previous prime is 273323428451. The next prime is 273323428453. The reversal of 273323428452 is 254824323372.

273323428452 is a `hidden beast` number, since 2 + 7 + 332 + 34 + 284 + 5 + 2 = 666.

273323428452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (273323428451) and next prime (273323428453).

It is a junction number, because it is equal to n+sod(n) for n = 273323428398 and 273323428407.

It is not an unprimeable number, because it can be changed into a prime (273323428451) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24903238 + ... + 24914210.

It is an arithmetic number, because the mean of its divisors is an integer number (5093033400).

Almost surely, 2273323428452 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 273323428452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366698404800).

273323428452 is an abundant number, since it is smaller than the sum of its proper divisors (460073381148).

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

273323428452 is a wasteful number, since it uses less digits than its factorization.

273323428452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522 (or 11517 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 273323428452 in words is "two hundred seventy-three billion, three hundred twenty-three million, four hundred twenty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 449 603 804 828 898 1206 1347 1541 1796 2412 2694 3082 4041 4623 5388 6164 8082 9246 10327 10973 13869 16164 18492 20654 21946 27738 30083 30981 32919 41308 43892 55476 60166 61962 65838 90249 92943 98757 120332 123924 131676 180498 185886 197514 252379 270747 360996 371772 395028 504758 541494 691909 735191 757137 1009516 1082988 1383818 1470382 1514274 2075727 2205573 2271411 2767636 2940764 3028548 4151454 4411146 4542822 4926877 6227181 6616719 8302908 8822292 9085644 9853754 12454362 13233438 14780631 16909393 19707508 24908724 26466876 29561262 33818786 44341893 50728179 59122524 67637572 88683786 101456358 113318171 152184537 177367572 202912716 226636342 304369074 330100759 339954513 453272684 608738148 660201518 679909026 990302277 1019863539 1320403036 1359818052 1980604554 2039727078 2970906831 3961209108 4079454156 5941813662 7592317457 11883627324 15184634914 22776952371 30369269828 45553904742 68330857113 91107809484 136661714226 273323428452